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234430696632 = 233112340999419
BaseRepresentation
bin1101101001010100101…
…0001000110010111000
3211102002212201022000210
43122111022020302320
512320103224243012
6255410155231120
722636261020516
oct3322512106270
9742085638023
10234430696632
1190470020190
12395264484a0
1319150604352
14b4bcb554b6
15617104c23c
hex3695288cb8

234430696632 has 128 divisors (see below), whose sum is σ = 667388160000. Its totient is φ = 67927136640.

The previous prime is 234430696627. The next prime is 234430696637. The reversal of 234430696632 is 236696034432.

It is an interprime number because it is at equal distance from previous prime (234430696627) and next prime (234430696637).

It is a super-2 number, since 2×2344306966322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234430696637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24884419 + ... + 24893837.

It is an arithmetic number, because the mean of its divisors is an integer number (5213970000).

Almost surely, 2234430696632 is an apocalyptic number.

234430696632 is a gapful number since it is divisible by the number (22) 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 234430696632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333694080000).

234430696632 is an abundant number, since it is smaller than the sum of its proper divisors (432957463368).

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

234430696632 is a wasteful number, since it uses less digits than its factorization.

234430696632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13561 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 48.

The spelling of 234430696632 in words is "two hundred thirty-four billion, four hundred thirty million, six hundred ninety-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 4099 6072 8198 9419 12297 16396 18838 24594 28257 32792 37676 45089 49188 56514 75352 90178 94277 98376 103609 113028 135267 180356 188554 207218 216637 226056 270534 282831 310827 360712 377108 414436 433274 541068 565662 621654 649911 754216 828872 866548 1037047 1082136 1131324 1243308 1299822 1733096 2074094 2262648 2383007 2486616 2599644 3111141 4148188 4766014 5199288 6222282 7149021 8296376 9532028 12444564 14298042 19064056 24889128 28596084 38608481 57192168 77216962 115825443 154433924 231650886 308867848 424693291 463301772 849386582 887995063 926603544 1274079873 1698773164 1775990126 2548159746 2663985189 3397546328 3551980252 5096319492 5327970378 7103960504 9767945693 10192638984 10655940756 19535891386 21311881512 29303837079 39071782772 58607674158 78143565544 117215348316 234430696632