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3442642504 = 237313753597
BaseRepresentation
bin1100110100110010…
…1000111001001000
322212220221100200221
43031030220321020
524022304030004
61325335435424
7151211656420
oct31514507110
98786840627
103442642504
1115073112a4
12800b25b74
1342b306392
1424930b480
1515237c354
hexcd328e48

3442642504 has 64 divisors (see below), whose sum is σ = 7821020160. Its totient is φ = 1389208320.

The previous prime is 3442642499. The next prime is 3442642513. The reversal of 3442642504 is 4052462443.

It is a self number, because there is not a number n which added to its sum of digits gives 3442642504.

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, 37434 + ... + 91030.

It is an arithmetic number, because the mean of its divisors is an integer number (122203440).

Almost surely, 23442642504 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 3442642504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910510080).

3442642504 is an abundant number, since it is smaller than the sum of its proper divisors (4378377656).

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

3442642504 is a wasteful number, since it uses less digits than its factorization.

3442642504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53678 (or 53674 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

The square root of 3442642504 is about 58674.0360295761. The cubic root of 3442642504 is about 1509.9548988766.

The spelling of 3442642504 in words is "three billion, four hundred forty-two million, six hundred forty-two thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 31 37 56 62 74 124 148 217 248 259 296 434 518 868 1036 1147 1736 2072 2294 4588 8029 9176 16058 32116 53597 64232 107194 214388 375179 428776 750358 1500716 1661507 1983089 3001432 3323014 3966178 6646028 7932356 11630549 13292056 13881623 15864712 23261098 27763246 46522196 55526492 61475759 93044392 111052984 122951518 245903036 430330313 491806072 860660626 1721321252 3442642504