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3399873936 = 2431091574139
BaseRepresentation
bin1100101010100101…
…1111010110010000
322202221110111020220
43022221133112100
523430331431221
61321211033040
7150152310624
oct31251372620
98687414226
103399873936
11149515a678
127aa73b780
134224b0634
14243777184
1514d7300c6
hexcaa5f590

3399873936 has 80 divisors (see below), whose sum is σ = 8922196800. Its totient is φ = 1115472384.

The previous prime is 3399873859. The next prime is 3399873949. The reversal of 3399873936 is 6393789933.

3399873936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3399873936.

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, 819355 + ... + 823493.

It is an arithmetic number, because the mean of its divisors is an integer number (111527460).

Almost surely, 23399873936 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 3399873936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461098400).

3399873936 is an abundant number, since it is smaller than the sum of its proper divisors (5522322864).

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

3399873936 is a wasteful number, since it uses less digits than its factorization.

3399873936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 4410 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 60.

The square root of 3399873936 is about 58308.4379485508. The cubic root of 3399873936 is about 1503.6760114894.

The spelling of 3399873936 in words is "three billion, three hundred ninety-nine million, eight hundred seventy-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 157 218 314 327 436 471 628 654 872 942 1256 1308 1744 1884 2512 2616 3768 4139 5232 7536 8278 12417 16556 17113 24834 33112 34226 49668 51339 66224 68452 99336 102678 136904 198672 205356 273808 410712 451151 649823 821424 902302 1299646 1353453 1804604 1949469 2599292 2706906 3609208 3898938 5198584 5413812 7218416 7797876 10397168 10827624 15595752 21655248 31191504 70830707 141661414 212492121 283322828 424984242 566645656 849968484 1133291312 1699936968 3399873936