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3379365144 = 233366123669
BaseRepresentation
bin1100100101101101…
…0000010100011000
322201111212112111000
43021123100110120
523410104141034
61315155305000
7146513062341
oct31133202430
98644775430
103379365144
111484622061
127a38ab160
1341b17c75c
14240b590c8
1514ba2d599
hexc96d0518

3379365144 has 64 divisors (see below), whose sum is σ = 9401724000. Its totient is φ = 1124703360.

The previous prime is 3379365139. The next prime is 3379365167. The reversal of 3379365144 is 4415639733.

3379365144 is a `hidden beast` number, since 33 + 79 + 36 + 514 + 4 = 666.

It is a super-2 number, since 2×33793651442 = 22840217552964281472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3379365144.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 130942 + ... + 154610.

Almost surely, 23379365144 is an apocalyptic number.

It is an amenable number.

3379365144 is an abundant number, since it is smaller than the sum of its proper divisors (6022358856).

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

3379365144 is a wasteful number, since it uses less digits than its factorization.

3379365144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24345 (or 24335 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3379365144 is about 58132.3072310054. The cubic root of 3379365144 is about 1500.6464093966.

The spelling of 3379365144 in words is "three billion, three hundred seventy-nine million, three hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 661 1322 1983 2644 3966 5288 5949 7932 11898 15864 17847 23669 23796 35694 47338 47592 71007 71388 94676 142014 142776 189352 213021 284028 426042 568056 639063 852084 1278126 1704168 2556252 5112504 15645209 31290418 46935627 62580836 93871254 125161672 140806881 187742508 281613762 375485016 422420643 563227524 844841286 1126455048 1689682572 3379365144