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180334368 = 25321736833
BaseRepresentation
bin10101011111110…
…10111100100000
3110120022221020200
422233322330200
5332131144433
625521105200
74316550114
oct1257727440
9416287220
10180334368
1192880975
1250488200
132b490136
1419d43744
1510c72613
hexabfaf20

180334368 has 72 divisors (see below), whose sum is σ = 543006828. Its totient is φ = 56573952.

The previous prime is 180334331. The next prime is 180334373. The reversal of 180334368 is 863433081.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 173923344 + 6411024 = 13188^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13521 + ... + 23312.

Almost surely, 2180334368 is an apocalyptic number.

180334368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

180334368 is an abundant number, since it is smaller than the sum of its proper divisors (362672460).

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

180334368 is a wasteful number, since it uses less digits than its factorization.

180334368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36866 (or 36855 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 180334368 is about 13428.8632430299. The cubic root of 180334368 is about 564.9710147764.

The spelling of 180334368 in words is "one hundred eighty million, three hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 36833 73666 110499 147332 220998 294664 331497 441996 589328 626161 662994 883992 1178656 1252322 1325988 1767984 1878483 2504644 2651976 3535968 3756966 5009288 5303952 5635449 7513932 10018576 10607904 11270898 15027864 20037152 22541796 30055728 45083592 60111456 90167184 180334368