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3142074936 = 23371113314219
BaseRepresentation
bin1011101101001000…
…0100001000111000
322002222100221111210
42323102010020320
522413332344221
61235441323120
7140602124220
oct27322041070
98088327453
103142074936
11137268a450
127383364a0
133b0c6a150
1421b42b080
15135caa276
hexbb484238

3142074936 has 256 divisors, whose sum is σ = 10889625600. Its totient is φ = 728870400.

The previous prime is 3142074911. The next prime is 3142074941. The reversal of 3142074936 is 6394702413.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3142074894 and 3142074903.

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 63 ways as a sum of consecutive naturals, for example, 742635 + ... + 746853.

It is an arithmetic number, because the mean of its divisors is an integer number (42537600).

Almost surely, 23142074936 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 3142074936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444812800).

3142074936 is an abundant number, since it is smaller than the sum of its proper divisors (7747550664).

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

3142074936 is a wasteful number, since it uses less digits than its factorization.

3142074936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3142074936 is about 56054.2142572706. The cubic root of 3142074936 is about 1464.6668294611. Note that the first 3 decimals are identical.

The spelling of 3142074936 in words is "three billion, one hundred forty-two million, seventy-four thousand, nine hundred thirty-six".