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234494208 = 2832137829
BaseRepresentation
bin11011111101000…
…01100100000000
3121100020112120200
431332201210000
5440012303313
635134005200
75545111404
oct1576414400
9540215520
10234494208
11110402a73
1266646800
1339773a90
1423201104
15158beb73
hexdfa1900

234494208 has 108 divisors (see below), whose sum is σ = 728205660. Its totient is φ = 72142848.

The previous prime is 234494149. The next prime is 234494231. The reversal of 234494208 is 802494432.

234494208 is a `hidden beast` number, since 2 + 3 + 449 + 4 + 208 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 201867264 = 5712^2 + 14208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26038 + ... + 33866.

It is an arithmetic number, because the mean of its divisors is an integer number (6742645).

Almost surely, 2234494208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234494208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364102830).

234494208 is an abundant number, since it is smaller than the sum of its proper divisors (493711452).

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

234494208 is a wasteful number, since it uses less digits than its factorization.

234494208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 234494208 is about 15313.2037144420. The cubic root of 234494208 is about 616.6575314287.

The spelling of 234494208 in words is "two hundred thirty-four million, four hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 7829 9984 14976 15658 23487 29952 31316 46974 62632 70461 93948 101777 125264 140922 187896 203554 250528 281844 305331 375792 407108 501056 563688 610662 751584 814216 915993 1002112 1127376 1221324 1503168 1628432 1831986 2004224 2254752 2442648 3006336 3256864 3663972 4509504 4885296 6012672 6513728 7327944 9019008 9770592 13027456 14655888 18038016 19541184 26054912 29311776 39082368 58623552 78164736 117247104 234494208