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3104465040 = 243254311757
BaseRepresentation
bin1011100100001010…
…0110000010010000
322000100121011102200
42321002212002100
522324220340130
61232015243200
7136634342325
oct27102460220
98010534380
103104465040
111353431596
12727819500
133a622c481
1421643ab4c
1513282b760
hexb90a6090

3104465040 has 60 divisors (see below), whose sum is σ = 10425830844. Its totient is φ = 827857152.

The previous prime is 3104465027. The next prime is 3104465041. The reversal of 3104465040 is 405644013.

3104465040 is a `hidden beast` number, since 3 + 1 + 0 + 4 + 4 + 650 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 408363264 + 2696101776 = 20208^2 + 51924^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 3104464995 and 3104465013.

It is not an unprimeable number, because it can be changed into a prime (3104465041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2155159 + ... + 2156598.

Almost surely, 23104465040 is an apocalyptic number.

3104465040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3104465040 is an abundant number, since it is smaller than the sum of its proper divisors (7321365804).

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

3104465040 is a wasteful number, since it uses less digits than its factorization.

3104465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311776 (or 4311767 counting only the distinct ones).

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

The square root of 3104465040 is about 55717.7264432066. The cubic root of 3104465040 is about 1458.7994509222.

The spelling of 3104465040 in words is "three billion, one hundred four million, four hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4311757 8623514 12935271 17247028 21558785 25870542 34494056 38805813 43117570 51741084 64676355 68988112 77611626 86235140 103482168 129352710 155223252 172470280 194029065 206964336 258705420 310446504 344940560 388058130 517410840 620893008 776116260 1034821680 1552232520 3104465040