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3124634940 = 223557213121
BaseRepresentation
bin1011101000111110…
…0010010100111100
322001202112220100000
42322033202110330
522344401304230
61234015434300
7140300646600
oct27217422474
98052486300
103124634940
111363858529
12732525990
133aa47201b
14218dab500
151344b2b60
hexba3e253c

3124634940 has 216 divisors, whose sum is σ = 11434720752. Its totient is φ = 714147840.

The previous prime is 3124634839. The next prime is 3124634959. The reversal of 3124634940 is 494364213.

It is a happy number.

3124634940 is a `hidden beast` number, since 3 + 12 + 4 + 634 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3124634895 and 3124634904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231580 + ... + 244700.

It is an arithmetic number, because the mean of its divisors is an integer number (52938522).

Almost surely, 23124634940 is an apocalyptic number.

3124634940 is a gapful number since it is divisible by the number (30) 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 3124634940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717360376).

3124634940 is an abundant number, since it is smaller than the sum of its proper divisors (8310085812).

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

3124634940 is a wasteful number, since it uses less digits than its factorization.

3124634940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13159 (or 13138 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3124634940 is about 55898.4341462263. The cubic root of 3124634940 is about 1461.9519366539.

The spelling of 3124634940 in words is "three billion, one hundred twenty-four million, six hundred thirty-four thousand, nine hundred forty".