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334444412340 = 2232514711263103
BaseRepresentation
bin1001101110111100111…
…00001011110110110100
31011222021000011110200200
410313132130023312310
520434420232143330
6413350332240500
733106562412513
oct4673634136664
91158230143620
10334444412340
11119923174085
1254998910130
13256cbc0699c
141228994667a
158a76595a60
hex4dde70bdb4

334444412340 has 72 divisors (see below), whose sum is σ = 1015171842048. Its totient is φ = 89124477120.

The previous prime is 334444412317. The next prime is 334444412369. The reversal of 334444412340 is 43214444433.

334444412340 is a `hidden beast` number, since 3 + 344 + 44 + 41 + 234 + 0 = 666.

It is a super-2 number, since 2×3344444123402 (a number of 24 digits) contains 22 as substring.

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 = 334444412295 and 334444412304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366772 + ... + 896331.

Almost surely, 2334444412340 is an apocalyptic number.

334444412340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334444412340 is an abundant number, since it is smaller than the sum of its proper divisors (680727429708).

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

334444412340 is a wasteful number, since it uses less digits than its factorization.

334444412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264589 (or 1264584 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 334444412340 its reverse (43214444433), we get a palindrome (377658856773).

The spelling of 334444412340 in words is "three hundred thirty-four billion, four hundred forty-four million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1471 2942 4413 5884 7355 8826 13239 14710 17652 22065 26478 29420 44130 52956 66195 88260 132390 264780 1263103 2526206 3789309 5052412 6315515 7578618 11367927 12631030 15157236 18946545 22735854 25262060 37893090 45471708 56839635 75786180 113679270 227358540 1858024513 3716049026 5574073539 7432098052 9290122565 11148147078 16722220617 18580245130 22296294156 27870367695 33444441234 37160490260 55740735390 66888882468 83611103085 111481470780 167222206170 334444412340