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61304364 = 223411103167
BaseRepresentation
bin1110100111011…
…0111000101100
311021100120210000
43221312320230
5111143214424
610025544300
71343035632
oct351667054
9137316700
1061304364
1131671970
1218645090
13c915894
1481db352
1555ae3c9
hex3a76e2c

61304364 has 120 divisors (see below), whose sum is σ = 177585408. Its totient is φ = 18286560.

The previous prime is 61304359. The next prime is 61304371. The reversal of 61304364 is 46340316.

61304364 is a `hidden beast` number, since 613 + 0 + 43 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 367009 + ... + 367175.

Almost surely, 261304364 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 61304364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88792704).

61304364 is an abundant number, since it is smaller than the sum of its proper divisors (116281044).

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

61304364 is a wasteful number, since it uses less digits than its factorization.

61304364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 61304364 is about 7829.7103394698. The cubic root of 61304364 is about 394.3033471725.

The spelling of 61304364 in words is "sixty-one million, three hundred four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 103 108 132 162 167 198 206 297 309 324 334 396 412 501 594 618 668 891 927 1002 1133 1188 1236 1503 1782 1837 1854 2004 2266 2781 3006 3399 3564 3674 3708 4509 4532 5511 5562 6012 6798 7348 8343 9018 10197 11022 11124 13527 13596 16533 16686 17201 18036 20394 22044 27054 30591 33066 33372 34402 40788 49599 51603 54108 61182 66132 68804 91773 99198 103206 122364 148797 154809 183546 189211 198396 206412 297594 309618 367092 378422 464427 567633 595188 619236 756844 928854 1135266 1393281 1702899 1857708 2270532 2786562 3405798 5108697 5573124 6811596 10217394 15326091 20434788 30652182 61304364