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3297632628 = 22319891011609
BaseRepresentation
bin1100010010001101…
…1110000101110100
322111211002002112210
43010203132011310
523223143221003
61303115413420
7144501262203
oct30443360564
98454062483
103297632628
111442478224
12780454270
13407263914
14233d6123a
15144786503
hexc48de174

3297632628 has 96 divisors (see below), whose sum is σ = 8276688000. Its totient is φ = 1018828800.

The previous prime is 3297632623. The next prime is 3297632641. The reversal of 3297632628 is 8262367923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3297632621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2048688 + ... + 2050296.

It is an arithmetic number, because the mean of its divisors is an integer number (86215500).

Almost surely, 23297632628 is an apocalyptic number.

3297632628 is a gapful number since it is divisible by the number (38) 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 3297632628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138344000).

3297632628 is an abundant number, since it is smaller than the sum of its proper divisors (4979055372).

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

3297632628 is a wasteful number, since it uses less digits than its factorization.

3297632628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1823 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 3297632628 is about 57425.0174401367. The cubic root of 3297632628 is about 1488.4494519702.

The spelling of 3297632628 in words is "three billion, two hundred ninety-seven million, six hundred thirty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 101 114 178 202 228 267 303 356 404 534 606 1068 1212 1609 1691 1919 3218 3382 3838 4827 5073 5757 6436 6764 7676 8989 9654 10146 11514 17978 19308 20292 23028 26967 30571 35956 53934 61142 91713 107868 122284 143201 162509 170791 183426 286402 325018 341582 366852 429603 487527 512373 572804 650036 683164 859206 975054 1024746 1718412 1950108 2049492 2720819 3087671 5441638 6175342 8162457 9263013 10883276 12350684 14463301 16324914 18526026 28926602 32649828 37052052 43389903 57853204 86779806 173559612 274802719 549605438 824408157 1099210876 1648816314 3297632628