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334057152 = 2631113233
BaseRepresentation
bin10011111010010…
…100111011000000
3212021120212021010
4103322110323000
51141004312102
653052000520
711164303362
oct2372247300
9767525233
10334057152
111616260a0
1293a60140
1354293670
143251ad32
151e4d9d6c
hex13e94ec0

334057152 has 224 divisors, whose sum is σ = 1085575680. Its totient is φ = 89379840.

The previous prime is 334057151. The next prime is 334057219. The reversal of 334057152 is 251750433.

It is a super-2 number, since 2×3340571522 = 223188361604702208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334057151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14524213 + ... + 14524235.

It is an arithmetic number, because the mean of its divisors is an integer number (4846320).

Almost surely, 2334057152 is an apocalyptic number.

334057152 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 334057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542787840).

334057152 is an abundant number, since it is smaller than the sum of its proper divisors (751518528).

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

334057152 is a wasteful number, since it uses less digits than its factorization.

334057152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 334057152 is about 18277.2304247662. The cubic root of 334057152 is about 693.8627793600.

The spelling of 334057152 in words is "three hundred thirty-four million, fifty-seven thousand, one hundred fifty-two".