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334376672 = 25717277317
BaseRepresentation
bin10011111011100…
…010111011100000
3212022012002120012
4103323202323200
51141100023142
653102504052
711200104050
oct2373427340
9768162505
10334376672
11161824163
1293b95028
1354375c26
14325a1560
151e54e882
hex13ee2ee0

334376672 has 96 divisors (see below), whose sum is σ = 802001088. Its totient is φ = 133963776.

The previous prime is 334376671. The next prime is 334376683. The reversal of 334376672 is 276673433.

It is a super-2 number, since 2×3343766722 = 223615517555591168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334376671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054658 + ... + 1054974.

It is an arithmetic number, because the mean of its divisors is an integer number (8354178).

Almost surely, 2334376672 is an apocalyptic number.

334376672 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 334376672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401000544).

334376672 is an abundant number, since it is smaller than the sum of its proper divisors (467624416).

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

334376672 is a wasteful number, since it uses less digits than its factorization.

334376672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its digits is 381024, while the sum is 41.

The square root of 334376672 is about 18285.9692660794. The cubic root of 334376672 is about 694.0839315256.

The spelling of 334376672 in words is "three hundred thirty-four million, three hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 277 317 476 544 554 634 952 1108 1268 1904 1939 2216 2219 2536 3808 3878 4432 4438 4709 5072 5389 7756 8864 8876 9418 10144 10778 15512 17752 18836 21556 31024 32963 35504 37672 37723 43112 62048 65926 71008 75344 75446 86224 87809 131852 150688 150892 172448 175618 263704 301784 351236 527408 603568 614663 702472 1054816 1207136 1229326 1404944 1492753 2458652 2809888 2985506 4917304 5971012 9834608 10449271 11942024 19669216 20898542 23884048 41797084 47768096 83594168 167188336 334376672