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234204672 = 2931337317
BaseRepresentation
bin11011111010110…
…10111000000000
3121022200211102010
431331122320000
5434424022142
635123452520
75542464312
oct1575327000
9538624363
10234204672
11110225489
1266527140
13396a2060
14231677b2
1515863e9c
hexdf5ae00

234204672 has 160 divisors (see below), whose sum is σ = 692268192. Its totient is φ = 69894144.

The previous prime is 234204671. The next prime is 234204683. The reversal of 234204672 is 276402432.

234204672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234204671) 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, 738658 + ... + 738974.

Almost surely, 2234204672 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 234204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346134096).

234204672 is an abundant number, since it is smaller than the sum of its proper divisors (458063520).

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

234204672 is a wasteful number, since it uses less digits than its factorization.

234204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 234204672 is about 15303.7469921585. The cubic root of 234204672 is about 616.4036259534.

The spelling of 234204672 in words is "two hundred thirty-four million, two hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 317 384 416 444 481 512 592 624 634 768 832 888 951 962 1184 1248 1268 1443 1536 1664 1776 1902 1924 2368 2496 2536 2886 3328 3552 3804 3848 4121 4736 4992 5072 5772 6656 7104 7608 7696 8242 9472 9984 10144 11544 11729 12363 14208 15216 15392 16484 18944 19968 20288 23088 23458 24726 28416 30432 30784 32968 35187 40576 46176 46916 49452 56832 60864 61568 65936 70374 81152 92352 93832 98904 121728 123136 131872 140748 152477 162304 184704 187664 197808 243456 246272 263744 281496 304954 369408 375328 395616 457431 486912 527488 562992 609908 738816 750656 791232 914862 1054976 1125984 1219816 1501312 1582464 1829724 2109952 2251968 2439632 3002624 3164928 3659448 4503936 4879264 6005248 6329856 7318896 9007872 9758528 14637792 18015744 19517056 29275584 39034112 58551168 78068224 117102336 234204672