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3313960272 = 243276435113
BaseRepresentation
bin1100010110000111…
…0000010101010000
322112221210121212100
43011201300111100
523241333212042
61304501400400
7145060124520
oct30541602520
98487717770
103313960272
11145070a447
12785a09100
1340a75c64c
142361b1680
15145e0e24c
hexc5870550

3313960272 has 120 divisors (see below), whose sum is σ = 10617973184. Its totient is φ = 945188352.

The previous prime is 3313960261. The next prime is 3313960337. The reversal of 3313960272 is 2720693133.

3313960272 is a `hidden beast` number, since 33 + 13 + 9 + 602 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645588 + ... + 650700.

Almost surely, 23313960272 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 3313960272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308986592).

3313960272 is an abundant number, since it is smaller than the sum of its proper divisors (7304012912).

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

3313960272 is a wasteful number, since it uses less digits than its factorization.

3313960272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3313960272 is about 57567.0068007709. The cubic root of 3313960272 is about 1490.9020065768.

The spelling of 3313960272 in words is "three billion, three hundred thirteen million, nine hundred sixty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 643 1008 1286 1929 2572 3858 4501 5113 5144 5787 7716 9002 10226 10288 11574 13503 15339 15432 18004 20452 23148 27006 30678 30864 35791 36008 40509 40904 46017 46296 54012 61356 71582 72016 81018 81808 92034 92592 107373 108024 122712 143164 162036 184068 214746 216048 245424 286328 322119 324072 368136 429492 572656 644238 648144 736272 858984 1288476 1717968 2576952 3287659 5153904 6575318 9862977 13150636 19725954 23013613 26301272 29588931 39451908 46027226 52602544 59177862 69040839 78903816 92054452 118355724 138081678 157807632 184108904 207122517 236711448 276163356 368217808 414245034 473422896 552326712 828490068 1104653424 1656980136 3313960272