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234783680 = 2651076857
BaseRepresentation
bin11011111111010…
…00001111000000
3121100210020122212
431333220033000
5440101034210
635144121252
75550425345
oct1577501700
9540706585
10234783680
111105904aa
1266766228
1339845771
14232787cc
151592a805
hexdfe83c0

234783680 has 56 divisors (see below), whose sum is σ = 564385968. Its totient is φ = 93022208.

The previous prime is 234783667. The next prime is 234783697. The reversal of 234783680 is 86387432.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30812 + ... + 37668.

Almost surely, 2234783680 is an apocalyptic number.

234783680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282192984).

234783680 is an abundant number, since it is smaller than the sum of its proper divisors (329602288).

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

234783680 is a wasteful number, since it uses less digits than its factorization.

234783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 234783680 is about 15322.6525118858. The cubic root of 234783680 is about 616.9111719326.

The spelling of 234783680 in words is "two hundred thirty-four million, seven hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 320 428 535 856 1070 1712 2140 3424 4280 6848 6857 8560 13714 17120 27428 34240 34285 54856 68570 109712 137140 219424 274280 438848 548560 733699 1097120 1467398 2194240 2934796 3668495 5869592 7336990 11739184 14673980 23478368 29347960 46956736 58695920 117391840 234783680