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838380984 = 23372712909
BaseRepresentation
bin110001111110001…
…010110110111000
32011102120011111120
4301332022312320
53204111142414
6215105225240
726530056300
oct6176126670
92142504446
10838380984
113a0276051
121b4932220
1310490082c
147d4ba600
154d9092a9
hex31f8adb8

838380984 has 48 divisors (see below), whose sum is σ = 2438152200. Its totient is φ = 239537088.

The previous prime is 838380937. The next prime is 838381007. The reversal of 838380984 is 489083838.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355279 + ... + 357630.

Almost surely, 2838380984 is an apocalyptic number.

838380984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

838380984 is an abundant number, since it is smaller than the sum of its proper divisors (1599771216).

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

838380984 is a wasteful number, since it uses less digits than its factorization.

838380984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712932 (or 712921 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 838380984 is about 28954.8093414548. The cubic root of 838380984 is about 942.9322139623.

The spelling of 838380984 in words is "eight hundred thirty-eight million, three hundred eighty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 712909 1425818 2138727 2851636 4277454 4990363 5703272 8554908 9980726 14971089 17109816 19961452 29942178 34932541 39922904 59884356 69865082 104797623 119768712 139730164 209595246 279460328 419190492 838380984