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234153240 = 233517114781
BaseRepresentation
bin11011111010011…
…10010100011000
3121022121012212020
431331032110120
5434420400430
635122414440
75542161336
oct1575162430
9538535766
10234153240
1111019a882
1266501420
1339684819
1423152b56
1515853b10
hexdf4e518

234153240 has 64 divisors (see below), whose sum is σ = 743787360. Its totient is φ = 58767360.

The previous prime is 234153239. The next prime is 234153253. The reversal of 234153240 is 42351432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 234153240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55351 + ... + 59430.

Almost surely, 2234153240 is an apocalyptic number.

234153240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234153240 is an abundant number, since it is smaller than the sum of its proper divisors (509634120).

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

234153240 is a wasteful number, since it uses less digits than its factorization.

234153240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114812 (or 114808 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 234153240 is about 15302.0665271067. The cubic root of 234153240 is about 616.3585013309.

The spelling of 234153240 in words is "two hundred thirty-four million, one hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 114781 229562 344343 459124 573905 688686 918248 1147810 1377372 1721715 1951277 2295620 2754744 3443430 3902554 4591240 5853831 6886860 7805108 9756385 11707662 13773720 15610216 19512770 23415324 29269155 39025540 46830648 58538310 78051080 117076620 234153240