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3308097792 = 28331413389
BaseRepresentation
bin1100010100101101…
…1001000100000000
322112112202210001110
43011023121010000
523233333112132
61304132003320
7144656236656
oct30513310400
98475683043
103308097792
11144837591a
12783a60540
1340948911c
142354c6dd6
151456521cc
hexc52d9100

3308097792 has 144 divisors (see below), whose sum is σ = 9312791040. Its totient is φ = 1040793600.

The previous prime is 3308097791. The next prime is 3308097803. The reversal of 3308097792 is 2977908033.

It is a super-2 number, since 2×33080977922 = 21887022002870550528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3308097791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974434 + ... + 977822.

It is an arithmetic number, because the mean of its divisors is an integer number (64672160).

Almost surely, 23308097792 is an apocalyptic number.

3308097792 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 3308097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656395520).

3308097792 is an abundant number, since it is smaller than the sum of its proper divisors (6004693248).

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

3308097792 is a wasteful number, since it uses less digits than its factorization.

3308097792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 3308097792 is about 57516.0655121680. The cubic root of 3308097792 is about 1490.0223397999.

The spelling of 3308097792 in words is "three billion, three hundred eight million, ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 123 124 128 164 186 192 246 248 256 328 372 384 492 496 656 744 768 984 992 1271 1312 1488 1968 1984 2542 2624 2976 3389 3813 3936 3968 5084 5248 5952 6778 7626 7872 7936 10167 10168 10496 11904 13556 15252 15744 20334 20336 23808 27112 30504 31488 40668 40672 54224 61008 81336 81344 105059 108448 122016 138949 162672 162688 210118 216896 244032 277898 315177 325344 325376 416847 420236 433792 488064 555796 630354 650688 833694 840472 867584 976128 1111592 1260708 1301376 1667388 1680944 2223184 2521416 2602752 3334776 3361888 4307419 4446368 5042832 6669552 6723776 8614838 8892736 10085664 12922257 13339104 13447552 17229676 17785472 20171328 25844514 26678208 26895104 34459352 35570944 40342656 51689028 53356416 68918704 80685312 103378056 106712832 137837408 206756112 275674816 413512224 551349632 827024448 1102699264 1654048896 3308097792