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3023013032 = 2313174613709
BaseRepresentation
bin1011010000101111…
…1000010010101000
321210200022222021122
42310023320102220
522142342404112
61215545354412
7134625121034
oct26413702250
97720288248
103023013032
111311459486
12704498a08
133923b1210
142096b71c4
1512a5dc872
hexb42f84a8

3023013032 has 64 divisors (see below), whose sum is σ = 6478995600. Its totient is φ = 1309962240.

The previous prime is 3023013017. The next prime is 3023013061. The reversal of 3023013032 is 2303103203.

It can be written as a sum of positive squares in 8 ways, for example, as 755920036 + 2267092996 = 27494^2 + 47614^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 3023013032.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813194 + ... + 816902.

Almost surely, 23023013032 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 3023013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239497800).

3023013032 is an abundant number, since it is smaller than the sum of its proper divisors (3455982568).

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

3023013032 is a wasteful number, since it uses less digits than its factorization.

3023013032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 3023013032 is about 54981.9336873486. The cubic root of 3023013032 is about 1445.9280177561.

Adding to 3023013032 its reverse (2303103203), we get a palindrome (5326116235).

The spelling of 3023013032 in words is "three billion, twenty-three million, thirteen thousand, thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 461 884 922 1768 1844 3688 3709 5993 7418 7837 11986 14836 15674 23972 29672 31348 47944 48217 62696 63053 96434 101881 126106 192868 203762 252212 385736 407524 504424 815048 819689 1639378 1709849 3278756 3419698 6557512 6839396 13678792 22228037 29067433 44456074 58134866 88912148 116269732 177824296 232539464 377876629 755753258 1511506516 3023013032