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334313632 = 25471991117
BaseRepresentation
bin10011111011010…
…011100010100000
3212022001220002101
4103323103202200
51141041014012
653101300144
711166422212
oct2373234240
9768056071
10334313632
11161790864
1293b64654
1354353323
14325865b2
151e53ad57
hex13ed38a0

334313632 has 48 divisors (see below), whose sum is σ = 676166400. Its totient is φ = 162632448.

The previous prime is 334313627. The next prime is 334313633. The reversal of 334313632 is 236313433.

It is a super-2 number, since 2×3343136322 = 223531209082062848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334313632.

It is not an unprimeable number, because it can be changed into a prime (334313633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298738 + ... + 299854.

It is an arithmetic number, because the mean of its divisors is an integer number (14086800).

Almost surely, 2334313632 is an apocalyptic number.

334313632 is a gapful number since it is divisible by the number (32) 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 334313632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338083200).

334313632 is an abundant number, since it is smaller than the sum of its proper divisors (341852768).

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

334313632 is a wasteful number, since it uses less digits than its factorization.

334313632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its digits is 11664, while the sum is 28.

The square root of 334313632 is about 18284.2454588643. The cubic root of 334313632 is about 694.0403102598.

The spelling of 334313632 in words is "three hundred thirty-four million, three hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 199 376 398 752 796 1117 1504 1592 2234 3184 4468 6368 8936 9353 17872 18706 35744 37412 52499 74824 104998 149648 209996 222283 299296 419992 444566 839984 889132 1679968 1778264 3556528 7113056 10447301 20894602 41789204 83578408 167156816 334313632