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3313697472 = 263313611409
BaseRepresentation
bin1100010110000011…
…0000001011000000
322112221022021101000
43011200300023000
523241301304342
61304452012000
7145054651401
oct30540601300
98487267330
103313697472
11145054aa58
12785901000
1340a699b47
142361439a8
15145dab44c
hexc58302c0

3313697472 has 112 divisors (see below), whose sum is σ = 9755733600. Its totient is φ = 1102970880.

The previous prime is 3313697437. The next prime is 3313697483. The reversal of 3313697472 is 2747963133.

It is a happy 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, 2351104 + ... + 2352512.

Almost surely, 23313697472 is an apocalyptic number.

3313697472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313697472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877866800).

3313697472 is an abundant number, since it is smaller than the sum of its proper divisors (6442036128).

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

3313697472 is a wasteful number, since it uses less digits than its factorization.

3313697472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2775 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 3313697472 is about 57564.7241980712. The cubic root of 3313697472 is about 1490.8625955828.

The spelling of 3313697472 in words is "three billion, three hundred thirteen million, six hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1361 1409 1728 2722 2818 4083 4227 5444 5636 8166 8454 10888 11272 12249 12681 16332 16908 21776 22544 24498 25362 32664 33816 36747 38043 43552 45088 48996 50724 65328 67632 73494 76086 87104 90176 97992 101448 130656 135264 146988 152172 195984 202896 261312 270528 293976 304344 391968 405792 587952 608688 783936 811584 1175904 1217376 1917649 2351808 2434752 3835298 5752947 7670596 11505894 15341192 17258841 23011788 30682384 34517682 46023576 51776523 61364768 69035364 92047152 103553046 122729536 138070728 184094304 207106092 276141456 368188608 414212184 552282912 828424368 1104565824 1656848736 3313697472