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397238040 = 233351033571
BaseRepresentation
bin10111101011010…
…101111100011000
31000200110210011000
4113223111330120
51303143104130
6103230105000
712562316253
oct2753257430
91020423130
10397238040
11194259901
12b104b160
13643b53c4
143aa8609a
1524d1a260
hex17ad5f18

397238040 has 128 divisors (see below), whose sum is σ = 1337356800. Its totient is φ = 104872320.

The previous prime is 397238011. The next prime is 397238047. The reversal of 397238040 is 40832793.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 397237986 and 397238004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397238047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 109455 + ... + 113025.

It is an arithmetic number, because the mean of its divisors is an integer number (10448100).

Almost surely, 2397238040 is an apocalyptic number.

397238040 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 397238040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668678400).

397238040 is an abundant number, since it is smaller than the sum of its proper divisors (940118760).

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

397238040 is a wasteful number, since it uses less digits than its factorization.

397238040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 397238040 is about 19930.8313925937. The cubic root of 397238040 is about 735.1065235029.

The spelling of 397238040 in words is "three hundred ninety-seven million, two hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 103 108 120 135 180 206 216 270 309 360 412 515 540 618 824 927 1030 1080 1236 1545 1854 2060 2472 2781 3090 3571 3708 4120 4635 5562 6180 7142 7416 9270 10713 11124 12360 13905 14284 17855 18540 21426 22248 27810 28568 32139 35710 37080 42852 53565 55620 64278 71420 85704 96417 107130 111240 128556 142840 160695 192834 214260 257112 321390 367813 385668 428520 482085 642780 735626 771336 964170 1103439 1285560 1471252 1839065 1928340 2206878 2942504 3310317 3678130 3856680 4413756 5517195 6620634 7356260 8827512 9930951 11034390 13241268 14712520 16551585 19861902 22068780 26482536 33103170 39723804 44137560 49654755 66206340 79447608 99309510 132412680 198619020 397238040