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234381216 = 2536433797
BaseRepresentation
bin11011111100001…
…01111110100000
3121100000210120210
431332011332200
5440000144331
635131334120
75544131106
oct1576057640
9540023523
10234381216
11110336093
12665b1340
1339734514
14231b1c76
151589b446
hexdf85fa0

234381216 has 48 divisors (see below), whose sum is σ = 616369824. Its totient is φ = 77985024.

The previous prime is 234381181. The next prime is 234381239. The reversal of 234381216 is 612183432.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59830 + ... + 63626.

It is an arithmetic number, because the mean of its divisors is an integer number (12841038).

Almost surely, 2234381216 is an apocalyptic number.

It is an amenable number.

234381216 is an abundant number, since it is smaller than the sum of its proper divisors (381988608).

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

234381216 is a wasteful number, since it uses less digits than its factorization.

234381216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4445 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 234381216 is about 15309.5139047587. The cubic root of 234381216 is about 616.5584691919.

The spelling of 234381216 in words is "two hundred thirty-four million, three hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 643 1286 1929 2572 3797 3858 5144 7594 7716 10288 11391 15188 15432 20576 22782 30376 30864 45564 60752 61728 91128 121504 182256 364512 2441471 4882942 7324413 9765884 14648826 19531768 29297652 39063536 58595304 78127072 117190608 234381216