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3164436140 = 2252312754167
BaseRepresentation
bin1011110010011101…
…0111011010101100
322011112110000022112
42330213113122230
522440043424030
61242000503152
7141263156225
oct27447273254
98145400275
103164436140
111384272788
1274391aab8
133b5799228
142203ac24c
15137c25a95
hexbc9d76ac

3164436140 has 48 divisors (see below), whose sum is σ = 6988972032. Its totient is φ = 1201185216.

The previous prime is 3164436103. The next prime is 3164436161. The reversal of 3164436140 is 416344613.

It is a junction number, because it is equal to n+sod(n) for n = 3164436097 and 3164436106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31337 + ... + 85503.

It is an arithmetic number, because the mean of its divisors is an integer number (145603584).

Almost surely, 23164436140 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 3164436140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494486016).

3164436140 is an abundant number, since it is smaller than the sum of its proper divisors (3824535892).

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

3164436140 is a wasteful number, since it uses less digits than its factorization.

3164436140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54326 (or 54324 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 3164436140 is about 56253.3211463999. The cubic root of 3164436140 is about 1468.1331508634.

The spelling of 3164436140 in words is "three billion, one hundred sixty-four million, four hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 230 254 460 508 635 1270 2540 2921 5842 11684 14605 29210 54167 58420 108334 216668 270835 541670 1083340 1245841 2491682 4983364 6229205 6879209 12458410 13758418 24916820 27516836 34396045 68792090 137584180 158221807 316443614 632887228 791109035 1582218070 3164436140