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3278428320 = 253511360443
BaseRepresentation
bin1100001101101000…
…1101100010100000
322110110221102012010
43003122031202200
523203234201240
61301152032520
7144146116026
oct30332154240
98413842163
103278428320
1114326507a2
12775b32740
1340329b71b
142315a2716
15142c41280
hexc368d8a0

3278428320 has 96 divisors (see below), whose sum is σ = 10418611392. Its totient is φ = 866496512.

The previous prime is 3278428273. The next prime is 3278428331. The reversal of 3278428320 is 238248723.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24019 + ... + 84461.

It is an arithmetic number, because the mean of its divisors is an integer number (108527202).

Almost surely, 23278428320 is an apocalyptic number.

3278428320 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 3278428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209305696).

3278428320 is an abundant number, since it is smaller than the sum of its proper divisors (7140183072).

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

3278428320 is a wasteful number, since it uses less digits than its factorization.

3278428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60574 (or 60566 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 3278428320 is about 57257.5612474021. The cubic root of 3278428320 is about 1485.5544143980.

The spelling of 3278428320 in words is "three billion, two hundred seventy-eight million, four hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 4520 5424 6780 9040 10848 13560 18080 27120 54240 60443 120886 181329 241772 302215 362658 483544 604430 725316 906645 967088 1208860 1450632 1813290 1934176 2417720 2901264 3626580 4835440 5802528 6830059 7253160 9670880 13660118 14506320 20490177 27320236 29012640 34150295 40980354 54640472 68300590 81960708 102450885 109280944 136601180 163921416 204901770 218561888 273202360 327842832 409803540 546404720 655685664 819607080 1092809440 1639214160 3278428320