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234133640 = 23513450257
BaseRepresentation
bin11011111010010…
…01100010001000
3121022120012222022
431331021202020
5434414234030
635122144012
75542050236
oct1575114210
9538505868
10234133640
11110187084
12664b2008
1339678920
1423149956
151584cde5
hexdf49888

234133640 has 32 divisors (see below), whose sum is σ = 567325080. Its totient is φ = 86449152.

The previous prime is 234133619. The next prime is 234133651. The reversal of 234133640 is 46331432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 217208644 + 16924996 = 14738^2 + 4114^2 .

It is a super-2 number, since 2×2341336402 = 109637122759299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 224609 + ... + 225648.

Almost surely, 2234133640 is an apocalyptic number.

234133640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234133640 is an abundant number, since it is smaller than the sum of its proper divisors (333191440).

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

234133640 is a wasteful number, since it uses less digits than its factorization.

234133640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450281 (or 450277 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 234133640 is about 15301.4260773302. The cubic root of 234133640 is about 616.3413032434.

The spelling of 234133640 in words is "two hundred thirty-four million, one hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 450257 900514 1801028 2251285 3602056 4502570 5853341 9005140 11706682 18010280 23413364 29266705 46826728 58533410 117066820 234133640