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3372092928 = 29322331817
BaseRepresentation
bin1100100011111110…
…0000111000000000
322201000012001212200
43020333200320000
523401223433203
61314335353200
7146364213501
oct31077407000
98630161780
103372092928
111480505366
127a1382800
13419804679
1423dbc4ba8
1514b0939a3
hexc8fe0e00

3372092928 has 120 divisors (see below), whose sum is σ = 10155541968. Its totient is φ = 1075126272.

The previous prime is 3372092923. The next prime is 3372093019. The reversal of 3372092928 is 8292902733.

3372092928 is a `hidden beast` number, since 337 + 20 + 9 + 292 + 8 = 666.

It is a super-2 number, since 2×33720929282 = 22742021430135226368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3372092923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90076 + ... + 121892.

Almost surely, 23372092928 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 3372092928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077770984).

3372092928 is an abundant number, since it is smaller than the sum of its proper divisors (6783449040).

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

3372092928 is a wasteful number, since it uses less digits than its factorization.

3372092928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31864 (or 31845 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3372092928 is about 58069.7247109025. The cubic root of 3372092928 is about 1499.5691989521.

The spelling of 3372092928 in words is "three billion, three hundred seventy-two million, ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1104 1152 1472 1536 1656 2208 2304 2944 3312 4416 4608 5888 6624 8832 11776 13248 17664 26496 31817 35328 52992 63634 95451 105984 127268 190902 254536 286353 381804 509072 572706 731791 763608 1018144 1145412 1463582 1527216 2036288 2195373 2290824 2927164 3054432 4072576 4390746 4581648 5854328 6108864 6586119 8145152 8781492 9163296 11708656 12217728 13172238 16290304 17562984 18326592 23417312 24435456 26344476 35125968 36653184 46834624 48870912 52688952 70251936 73306368 93669248 105377904 140503872 146612736 187338496 210755808 281007744 374676992 421511616 562015488 843023232 1124030976 1686046464 3372092928