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354382353420 = 223531211902977
BaseRepresentation
bin1010010100000101101…
…01011001010000001100
31020212201111220211002220
411022002311121100030
521301233340302140
6430445003415340
734413632205564
oct5120265312014
91225644824086
10354382353420
11127324666337
1258821b24550
1327558793464
141321b8b5da4
159341b53bd0
hex5282d5940c

354382353420 has 96 divisors (see below), whose sum is σ = 1029134862336. Its totient is φ = 91019980800.

The previous prime is 354382353383. The next prime is 354382353433. The reversal of 354382353420 is 24353283453.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59029 + ... + 843948.

It is an arithmetic number, because the mean of its divisors is an integer number (10720154816).

Almost surely, 2354382353420 is an apocalyptic number.

354382353420 is a gapful number since it is divisible by the number (30) 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 354382353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514567431168).

354382353420 is an abundant number, since it is smaller than the sum of its proper divisors (674752508916).

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

354382353420 is a wasteful number, since it uses less digits than its factorization.

354382353420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903231 (or 903229 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 354382353420 in words is "three hundred fifty-four billion, three hundred eighty-two million, three hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 211 310 372 422 465 620 633 844 930 1055 1266 1860 2110 2532 3165 4220 6330 6541 12660 13082 19623 26164 32705 39246 65410 78492 98115 130820 196230 392460 902977 1805954 2708931 3611908 4514885 5417862 9029770 10835724 13544655 18059540 27089310 27992287 54178620 55984574 83976861 111969148 139961435 167953722 190528147 279922870 335907444 381056294 419884305 559845740 571584441 762112588 839768610 952640735 1143168882 1679537220 1905281470 2286337764 2857922205 3810562940 5715844410 5906372557 11431688820 11812745114 17719117671 23625490228 29531862785 35438235342 59063725570 70876470684 88595588355 118127451140 177191176710 354382353420