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203452616340 = 2232529101385897
BaseRepresentation
bin1011110101111010111…
…0001000111010010100
3201110010221222202201200
42331132232020322110
511313132332210330
6233244223352500
720461513463601
oct2753656107224
9643127882650
10203452616340
1179313774a36
123351ba52730
131625470821c
149bc08676a8
15545b621a60
hex2f5eb88e94

203452616340 has 144 divisors (see below), whose sum is σ = 644742942480. Its totient is φ = 51864422400.

The previous prime is 203452616329. The next prime is 203452616363. The reversal of 203452616340 is 43616254302.

203452616340 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 5 + 2 + 616 + 34 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 65095399044 + 138357217296 = 255138^2 + 371964^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 203452616295 and 203452616304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334272 + ... + 720168.

It is an arithmetic number, because the mean of its divisors is an integer number (4477381545).

Almost surely, 2203452616340 is an apocalyptic number.

203452616340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203452616340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322371471240).

203452616340 is an abundant number, since it is smaller than the sum of its proper divisors (441290326140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203452616340 is a wasteful number, since it uses less digits than its factorization.

203452616340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386042 (or 386037 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 203452616340 in words is "two hundred three billion, four hundred fifty-two million, six hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 101 116 145 174 180 202 261 290 303 348 404 435 505 522 580 606 870 909 1010 1044 1212 1305 1515 1740 1818 2020 2610 2929 3030 3636 4545 5220 5858 6060 8787 9090 11716 14645 17574 18180 26361 29290 35148 43935 52722 58580 87870 105444 131805 175740 263610 385897 527220 771794 1157691 1543588 1929485 2315382 3473073 3858970 4630764 5788455 6946146 7717940 11191013 11576910 13892292 17365365 22382026 23153820 33573039 34730730 38975597 44764052 55955065 67146078 69461460 77951194 100719117 111910130 116926791 134292156 155902388 167865195 194877985 201438234 223820260 233853582 335730390 350780373 389755970 402876468 467707164 503595585 584633955 671460780 701560746 779511940 1007191170 1130292313 1169267910 1403121492 1753901865 2014382340 2260584626 2338535820 3390876939 3507803730 4521169252 5651461565 6781753878 7015607460 10172630817 11302923130 13563507756 16954384695 20345261634 22605846260 33908769390 40690523268 50863154085 67817538780 101726308170 203452616340