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3945938316 = 22319711731409
BaseRepresentation
bin1110101100110010…
…0011110110001100
3101011222222102202120
43223030203312030
531040130011231
61451315052540
7166532631225
oct35314436614
911158872676
103945938316
111745419951
129215a1150
134ab673658
142960c024c
15181646d96
hexeb323d8c

3945938316 has 96 divisors (see below), whose sum is σ = 9892108800. Its totient is φ = 1220567040.

The previous prime is 3945938287. The next prime is 3945938317. The reversal of 3945938316 is 6138395493.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3945938317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2799820 + ... + 2801228.

It is an arithmetic number, because the mean of its divisors is an integer number (103042800).

Almost surely, 23945938316 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 3945938316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946054400).

3945938316 is an abundant number, since it is smaller than the sum of its proper divisors (5946170484).

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

3945938316 is a wasteful number, since it uses less digits than its factorization.

3945938316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1677 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The square root of 3945938316 is about 62816.7041160232. The cubic root of 3945938316 is about 1580.2171249974.

The spelling of 3945938316 in words is "three billion, nine hundred forty-five million, nine hundred thirty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 173 213 228 284 346 426 519 692 852 1038 1349 1409 2076 2698 2818 3287 4047 4227 5396 5636 6574 8094 8454 9861 12283 13148 16188 16908 19722 24566 26771 36849 39444 49132 53542 73698 80313 100039 107084 147396 160626 200078 233377 243757 300117 321252 400156 466754 487514 600234 700131 731271 933508 975028 1200468 1400262 1462542 1900741 2800524 2925084 3801482 4631383 5702223 7602964 9262766 11404446 13894149 17306747 18525532 22808892 27788298 34613494 51920241 55576596 69226988 103840482 207680964 328828193 657656386 986484579 1315312772 1972969158 3945938316