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3326908920 = 233541838147
BaseRepresentation
bin1100011001001100…
…1001100111111000
322120212011111001220
43012103021213320
523303142041140
61310043112040
7145305154626
oct30623114770
98525144056
103326908920
111457a53a05
1278a212620
1341034437a
14237bc2516
1514711abd0
hexc64c99f8

3326908920 has 128 divisors (see below), whose sum is σ = 10348611840. Its totient is φ = 855004160.

The previous prime is 3326908883. The next prime is 3326908939. The reversal of 3326908920 is 298096233.

3326908920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33269089202 = 22136645923951132800, 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 31 ways as a sum of consecutive naturals, for example, 404287 + ... + 412433.

It is an arithmetic number, because the mean of its divisors is an integer number (80848530).

Almost surely, 23326908920 is an apocalyptic number.

3326908920 is a gapful number since it is divisible by the number (30) 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 3326908920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174305920).

3326908920 is an abundant number, since it is smaller than the sum of its proper divisors (7021702920).

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

3326908920 is a wasteful number, since it uses less digits than its factorization.

3326908920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8285 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3326908920 is about 57679.3630339309. The cubic root of 3326908920 is about 1492.8412851065.

The spelling of 3326908920 in words is "three billion, three hundred twenty-six million, nine hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 83 120 123 164 166 205 246 249 328 332 410 415 492 498 615 664 820 830 984 996 1230 1245 1640 1660 1992 2460 2490 3320 3403 4920 4980 6806 8147 9960 10209 13612 16294 17015 20418 24441 27224 32588 34030 40735 40836 48882 51045 65176 68060 81470 81672 97764 102090 122205 136120 162940 195528 204180 244410 325880 334027 408360 488820 668054 676201 977640 1002081 1336108 1352402 1670135 2004162 2028603 2672216 2704804 3340270 3381005 4008324 4057206 5010405 5409608 6680540 6762010 8016648 8114412 10020810 10143015 13361080 13524020 16228824 20041620 20286030 27048040 27724241 40083240 40572060 55448482 81144120 83172723 110896964 138621205 166345446 221793928 277242410 332690892 415863615 554484820 665381784 831727230 1108969640 1663454460 3326908920