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334364672 = 2172551
BaseRepresentation
bin10011111011100…
…000000000000000
3212022011111002202
4103323200000000
51141044132142
653102332332
711200024055
oct2373400000
9768144082
10334364672
11161816144
1293b8a0a8
1354370625
143259b02c
151e54b032
hex13ee0000

334364672 has 36 divisors (see below), whose sum is σ = 668988936. Its totient is φ = 167116800.

The previous prime is 334364669. The next prime is 334364749. The reversal of 334364672 is 276463433.

It is a super-2 number, since 2×3343646722 = 223599467763335168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129797 + ... + 132347.

It is an arithmetic number, because the mean of its divisors is an integer number (18583026).

Almost surely, 2334364672 is an apocalyptic number.

334364672 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 334364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334494468).

334364672 is an abundant number, since it is smaller than the sum of its proper divisors (334624264).

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

334364672 is an frugal number, since it uses more digits than its factorization.

334364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2553 counting only the distinct ones).

The product of its digits is 217728, while the sum is 38.

The square root of 334364672 is about 18285.6411427109. The cubic root of 334364672 is about 694.0756284077.

The spelling of 334364672 in words is "three hundred thirty-four million, three hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2551 4096 5102 8192 10204 16384 20408 32768 40816 65536 81632 131072 163264 326528 653056 1306112 2612224 5224448 10448896 20897792 41795584 83591168 167182336 334364672