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3399909872 = 243137229809
BaseRepresentation
bin1100101010100110…
…1000000111110000
322202221112022112212
43022221220013300
523430334103442
61321211511252
7150152520452
oct31251500760
98687468485
103399909872
111495184677
127aa758528
134224c3ab8
142437862d2
1514d73aa82
hexcaa681f0

3399909872 has 80 divisors (see below), whose sum is σ = 7022764800. Its totient is φ = 1591695360.

The previous prime is 3399909857. The next prime is 3399909893. The reversal of 3399909872 is 2789099933.

It is a super-3 number, since 3×33999098723 (a number of 30 digits) contains 333 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, 4202204 + ... + 4203012.

It is an arithmetic number, because the mean of its divisors is an integer number (87784560).

Almost surely, 23399909872 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 3399909872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511382400).

3399909872 is an abundant number, since it is smaller than the sum of its proper divisors (3622854928).

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

3399909872 is a wasteful number, since it uses less digits than its factorization.

3399909872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 59.

The square root of 3399909872 is about 58308.7461021072. The cubic root of 3399909872 is about 1503.6813093242.

The spelling of 3399909872 in words is "three billion, three hundred ninety-nine million, nine hundred nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 229 248 296 458 496 592 809 916 1147 1618 1832 2294 3236 3664 4588 6472 7099 8473 9176 12944 14198 16946 18352 25079 28396 29933 33892 50158 56792 59866 67784 100316 113584 119732 135568 185261 200632 239464 262663 370522 401264 478928 525326 741044 927923 1050652 1482088 1855846 2101304 2964176 3711692 4202608 5743091 6854657 7423384 11486182 13709314 14846768 22972364 27418628 45944728 54837256 91889456 109674512 212494367 424988734 849977468 1699954936 3399909872