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3944974160 = 2451032112269
BaseRepresentation
bin1110101100100011…
…1000011101010000
3101011221011110012002
43223020320131100
531034403133120
61451242253132
7166521504251
oct35310703520
911157143162
103944974160
111744920526
129211b71a8
134ab3c684a
14295d0cb28
15181506375
hexeb238750

3944974160 has 80 divisors (see below), whose sum is σ = 9309106560. Its totient is φ = 1554577920.

The previous prime is 3944974157. The next prime is 3944974177. The reversal of 3944974160 is 614794493.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×39449741602 = 31125642246135411200, which contains 22 as substring.

It is a congruent number.

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, 1737506 + ... + 1739774.

It is an arithmetic number, because the mean of its divisors is an integer number (116363832).

Almost surely, 23944974160 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 3944974160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654553280).

3944974160 is an abundant number, since it is smaller than the sum of its proper divisors (5364132400).

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

3944974160 is a wasteful number, since it uses less digits than its factorization.

3944974160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The square root of 3944974160 is about 62809.0292871972. The cubic root of 3944974160 is about 1580.0884103709.

The spelling of 3944974160 in words is "three billion, nine hundred forty-four million, nine hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 211 412 422 515 824 844 1030 1055 1648 1688 2060 2110 2269 3376 4120 4220 4538 8240 8440 9076 11345 16880 18152 21733 22690 36304 43466 45380 86932 90760 108665 173864 181520 217330 233707 347728 434660 467414 478759 869320 934828 957518 1168535 1738640 1869656 1915036 2337070 2393795 3739312 3830072 4674140 4787590 7660144 9348280 9575180 18696560 19150360 38300720 49312177 98624354 197248708 246560885 394497416 493121770 788994832 986243540 1972487080 3944974160