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61340544 = 273317749
BaseRepresentation
bin1110100111111…
…1101110000000
311021102102102000
43221333232000
5111200344134
610030424000
71343246256
oct351775600
9137372360
1061340544
1131697071
1218662000
13c9291a5
14820a5d6
1555b9e99
hex3a7fb80

61340544 has 64 divisors (see below), whose sum is σ = 181050000. Its totient is φ = 20445696.

The previous prime is 61340527. The next prime is 61340567. The reversal of 61340544 is 44504316.

61340544 is a `hidden beast` number, since 613 + 4 + 0 + 5 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

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, 5419 + ... + 12330.

Almost surely, 261340544 is an apocalyptic number.

61340544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61340544 is an abundant number, since it is smaller than the sum of its proper divisors (119709456).

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

61340544 is a wasteful number, since it uses less digits than its factorization.

61340544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17772 (or 17754 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 61340544 is about 7832.0204289825. The cubic root of 61340544 is about 394.3809005943.

The spelling of 61340544 in words is "sixty-one million, three hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 17749 35498 53247 70996 106494 141992 159741 212988 283984 319482 425976 479223 567968 638964 851952 958446 1135936 1277928 1703904 1916892 2271872 2555856 3407808 3833784 5111712 6815616 7667568 10223424 15335136 20446848 30670272 61340544