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3329669088 = 253226942979
BaseRepresentation
bin1100011001110110…
…1011011111100000
322121001100201022100
43012131223133200
523304343402323
61310222210400
7145340502024
oct30635533740
98531321270
103329669088
111459569739
1278b123a00
13410a9c7c5
14238300384
151474b3943
hexc676b7e0

3329669088 has 72 divisors (see below), whose sum is σ = 9504167400. Its totient is φ = 1105737984.

The previous prime is 3329669053. The next prime is 3329669149. The reversal of 3329669088 is 8809669233.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33296690882 = 22173392471165503488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55983 + ... + 98961.

It is an arithmetic number, because the mean of its divisors is an integer number (132002325).

Almost surely, 23329669088 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 3329669088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752083700).

3329669088 is an abundant number, since it is smaller than the sum of its proper divisors (6174498312).

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

3329669088 is a wasteful number, since it uses less digits than its factorization.

3329669088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43264 (or 43253 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3329669088 is about 57703.2848978288. The cubic root of 3329669088 is about 1493.2540159473.

The spelling of 3329669088 in words is "three billion, three hundred twenty-nine million, six hundred sixty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 269 288 538 807 1076 1614 2152 2421 3228 4304 4842 6456 8608 9684 12912 19368 25824 38736 42979 77472 85958 128937 171916 257874 343832 386811 515748 687664 773622 1031496 1375328 1547244 2062992 3094488 4125984 6188976 11561351 12377952 23122702 34684053 46245404 69368106 92490808 104052159 138736212 184981616 208104318 277472424 369963232 416208636 554944848 832417272 1109889696 1664834544 3329669088