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396979840 = 2752973293
BaseRepresentation
bin10111101010010…
…110111010000000
31000122222122222001
4113222112322000
51303111323330
6103220353344
712560162425
oct2752267200
91018878861
10396979840
111940a2914
12b0b45854
1364324a1a
143aa19d4c
1524cb89ca
hex17a96e80

396979840 has 128 divisors (see below), whose sum is σ = 998600400. Its totient is φ = 150700032.

The previous prime is 396979837. The next prime is 396979861. The reversal of 396979840 is 48979693.

It can be written as a sum of positive squares in 8 ways, for example, as 293916736 + 103063104 = 17144^2 + 10152^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354734 + ... + 1355026.

Almost surely, 2396979840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499300200).

396979840 is an abundant number, since it is smaller than the sum of its proper divisors (601620560).

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

396979840 is a wasteful number, since it uses less digits than its factorization.

396979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The square root of 396979840 is about 19924.3529380505. The cubic root of 396979840 is about 734.9472188177.

The spelling of 396979840 in words is "three hundred ninety-six million, nine hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 73 80 116 128 145 146 160 232 290 292 293 320 365 464 580 584 586 640 730 928 1160 1168 1172 1460 1465 1856 2117 2320 2336 2344 2920 2930 3712 4234 4640 4672 4688 5840 5860 8468 8497 9280 9344 9376 10585 11680 11720 16936 16994 18560 18752 21170 21389 23360 23440 33872 33988 37504 42340 42485 42778 46720 46880 67744 67976 84680 84970 85556 93760 106945 135488 135952 169360 169940 171112 187520 213890 270976 271904 338720 339880 342224 427780 543808 620281 677440 679760 684448 855560 1087616 1240562 1354880 1359520 1368896 1711120 2481124 2719040 2737792 3101405 3422240 4962248 5438080 6202810 6844480 9924496 12405620 13688960 19848992 24811240 39697984 49622480 79395968 99244960 198489920 396979840