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234120656 = 24711307619
BaseRepresentation
bin11011111010001…
…10010111010000
3121022112120011102
431331012113100
5434413330111
635122003532
75541664340
oct1575062720
9538476142
10234120656
11110178350
12664a65a8
1339672a43
1423144d20
151584913b
hexdf465d0

234120656 has 80 divisors (see below), whose sum is σ = 568296960. Its totient is φ = 90771840.

The previous prime is 234120631. The next prime is 234120659. The reversal of 234120656 is 656021432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234120659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377915 + ... + 378533.

It is an arithmetic number, because the mean of its divisors is an integer number (7103712).

Almost surely, 2234120656 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 234120656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284148480).

234120656 is an abundant number, since it is smaller than the sum of its proper divisors (334176304).

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

234120656 is a wasteful number, since it uses less digits than its factorization.

234120656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 234120656 is about 15301.0017972680. The cubic root of 234120656 is about 616.3299098594.

The spelling of 234120656 in words is "two hundred thirty-four million, one hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 307 308 614 616 619 1228 1232 1238 2149 2456 2476 3377 4298 4333 4912 4952 6754 6809 8596 8666 9904 13508 13618 17192 17332 23639 27016 27236 34384 34664 47278 47663 54032 54472 69328 94556 95326 108944 189112 190033 190652 378224 380066 381304 760132 762608 1330231 1520264 2090363 2660462 3040528 4180726 5320924 8361452 10641848 14632541 16722904 21283696 29265082 33445808 58530164 117060328 234120656