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232878640 = 2453478389
BaseRepresentation
bin11011110000101…
…11001000110000
3121020012110102211
431320113020300
5434104104030
635035221504
75525302321
oct1570271060
9536173384
10232878640
1110a4aa195
1265ba7894
1339329617
1422d00448
15156a112a
hexde17230

232878640 has 40 divisors (see below), whose sum is σ = 543067920. Its totient is φ = 92871936.

The previous prime is 232878623. The next prime is 232878641. The reversal of 232878640 is 46878232.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 232878593 and 232878602.

It is not an unprimeable number, because it can be changed into a prime (232878641) by changing a digit.

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, 23566 + ... + 31954.

It is an arithmetic number, because the mean of its divisors is an integer number (13576698).

Almost surely, 2232878640 is an apocalyptic number.

232878640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232878640 is an abundant number, since it is smaller than the sum of its proper divisors (310189280).

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

232878640 is a wasteful number, since it uses less digits than its factorization.

232878640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 232878640 is about 15260.3617257259. The cubic root of 232878640 is about 615.2380949566.

The spelling of 232878640 in words is "two hundred thirty-two million, eight hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 347 694 1388 1735 2776 3470 5552 6940 8389 13880 16778 27760 33556 41945 67112 83890 134224 167780 335560 671120 2910983 5821966 11643932 14554915 23287864 29109830 46575728 58219660 116439320 232878640