Search a number
-
+
3124744032 = 25361975501
BaseRepresentation
bin1011101000111111…
…1100111101100000
322001202202102222110
42322033330331200
522344413302112
61234022035320
7140301612624
oct27217747540
98052672873
103124744032
111363922493
12732578b40
133aa4ac887
14218dd9184
151344d513c
hexba3fcf60

3124744032 has 96 divisors (see below), whose sum is σ = 8424398304. Its totient is φ = 1013760000.

The previous prime is 3124744031. The next prime is 3124744033. The reversal of 3124744032 is 2304474213.

It is an interprime number because it is at equal distance from previous prime (3124744031) and next prime (3124744033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3124744031) by changing a digit.

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, 565282 + ... + 570782.

It is an arithmetic number, because the mean of its divisors is an integer number (87754149).

Almost surely, 23124744032 is an apocalyptic number.

3124744032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3124744032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212199152).

3124744032 is an abundant number, since it is smaller than the sum of its proper divisors (5299654272).

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

3124744032 is a wasteful number, since it uses less digits than its factorization.

3124744032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 3124744032 is about 55899.4099432185. The cubic root of 3124744032 is about 1461.9689504180.

The spelling of 3124744032 in words is "three billion, one hundred twenty-four million, seven hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 97 122 183 194 244 291 366 388 488 582 732 776 976 1164 1464 1552 1952 2328 2928 3104 4656 5501 5856 5917 9312 11002 11834 16503 17751 22004 23668 33006 35502 44008 47336 66012 71004 88016 94672 132024 142008 176032 189344 264048 284016 335561 528096 533597 568032 671122 1006683 1067194 1342244 1600791 2013366 2134388 2684488 3201582 4026732 4268776 5368976 6403164 8053464 8537552 10737952 12806328 16106928 17075104 25612656 32213856 32549417 51225312 65098834 97648251 130197668 195296502 260395336 390593004 520790672 781186008 1041581344 1562372016 3124744032