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233430340024 = 237171471716661
BaseRepresentation
bin1101100101100110001…
…0000101000110111000
3211022112011100220202001
43121121202011012320
512311031131340044
6255123022150344
722602423103120
oct3313142050670
9738464326661
10233430340024
118aaa7383492
12392a74223b4
13190212a0a6b
14b425d53c80
1561132ea2d4
hex36598851b8

233430340024 has 64 divisors (see below), whose sum is σ = 529699642560. Its totient is φ = 94144727040.

The previous prime is 233430340009. The next prime is 233430340057. The reversal of 233430340024 is 420043034332.

233430340024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 233430339974 and 233430340001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14002254 + ... + 14018914.

It is an arithmetic number, because the mean of its divisors is an integer number (8276556915).

Almost surely, 2233430340024 is an apocalyptic number.

It is an amenable number.

233430340024 is an abundant number, since it is smaller than the sum of its proper divisors (296269302536).

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

233430340024 is a wasteful number, since it uses less digits than its factorization.

233430340024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31408 (or 31404 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 233430340024 its reverse (420043034332), we get a palindrome (653473374356).

The spelling of 233430340024 in words is "two hundred thirty-three billion, four hundred thirty million, three hundred forty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 14717 16661 29434 33322 58868 66644 103019 116627 117736 133288 206038 233254 250189 283237 412076 466508 500378 566474 824152 933016 1000756 1132948 1751323 1982659 2001512 2265896 3502646 3965318 7005292 7930636 14010584 15861272 245199937 490399874 980799748 1716399559 1961599496 3432799118 4168398929 6865598236 8336797858 13731196472 16673595716 29178792503 33347191432 58357585006 116715170012 233430340024