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328970640 = 243543127251
BaseRepresentation
bin10011100110111…
…011000110010000
3211221000102212210
4103212323012100
51133204030030
652350552120
711103130035
oct2346730620
9757012783
10328970640
11159771569
1292208640
13532023ab
143199538c
151dd32bb0
hex139bb190

328970640 has 160 divisors (see below), whose sum is σ = 1055932416. Its totient is φ = 84672000.

The previous prime is 328970599. The next prime is 328970641. The reversal of 328970640 is 46079823.

It is not an unprimeable number, because it can be changed into a prime (328970641) 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, 1310515 + ... + 1310765.

Almost surely, 2328970640 is an apocalyptic number.

328970640 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 328970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527966208).

328970640 is an abundant number, since it is smaller than the sum of its proper divisors (726961776).

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

328970640 is a wasteful number, since it uses less digits than its factorization.

328970640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 328970640 is about 18137.5477945614. The cubic root of 328970640 is about 690.3230581303.

The spelling of 328970640 in words is "three hundred twenty-eight million, nine hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 127 129 172 215 240 251 254 258 344 381 430 502 508 516 635 645 688 753 762 860 1004 1016 1032 1255 1270 1290 1506 1524 1720 1905 2008 2032 2064 2510 2540 2580 3012 3048 3440 3765 3810 4016 5020 5080 5160 5461 6024 6096 7530 7620 10040 10160 10320 10793 10922 12048 15060 15240 16383 20080 21586 21844 27305 30120 30480 31877 32379 32766 43172 43688 53965 54610 60240 63754 64758 65532 81915 86344 87376 95631 107930 109220 127508 129516 131064 159385 161895 163830 172688 191262 215860 218440 255016 259032 262128 318770 323790 327660 382524 431720 436880 478155 510032 518064 637540 647580 655320 765048 863440 956310 1275080 1295160 1310640 1370711 1530096 1912620 2550160 2590320 2741422 3825240 4112133 5482844 6853555 7650480 8224266 10965688 13707110 16448532 20560665 21931376 27414220 32897064 41121330 54828440 65794128 82242660 109656880 164485320 328970640