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234483712 = 2121923131
BaseRepresentation
bin11011111100111…
…11000000000000
3121100020000011221
431332133000000
5440011434322
635133444424
75545035661
oct1576370000
9540200157
10234483712
111103a60a1
1266640714
133976c078
14231db368
15158bb9c7
hexdf9f000

234483712 has 104 divisors (see below), whose sum is σ = 518981760. Its totient is φ = 105431040.

The previous prime is 234483709. The next prime is 234483749. The reversal of 234483712 is 217384432.

It is a super-2 number, since 2×2344837122 = 109965222386597888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789887 + ... + 1790017.

Almost surely, 2234483712 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 234483712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259490880).

234483712 is an abundant number, since it is smaller than the sum of its proper divisors (284498048).

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

234483712 is a wasteful number, since it uses less digits than its factorization.

234483712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 234483712 is about 15312.8609998263. The cubic root of 234483712 is about 616.6483307266.

The spelling of 234483712 in words is "two hundred thirty-four million, four hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 131 152 184 256 262 304 368 437 512 524 608 736 874 1024 1048 1216 1472 1748 2048 2096 2432 2489 2944 3013 3496 4096 4192 4864 4978 5888 6026 6992 8384 9728 9956 11776 12052 13984 16768 19456 19912 23552 24104 27968 33536 38912 39824 47104 48208 55936 57247 67072 77824 79648 94208 96416 111872 114494 134144 159296 192832 223744 228988 268288 318592 385664 447488 457976 536576 637184 771328 894976 915952 1274368 1542656 1789952 1831904 2548736 3085312 3663808 5097472 6170624 7327616 10194944 12341248 14655232 29310464 58620928 117241856 234483712