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397835640 = 233255232113
BaseRepresentation
bin10111101101100…
…111110101111000
31000201121010220100
4113231213311320
51303321220030
6103250555400
712600355446
oct2755476570
91021533810
10397835640
11194627894
12b1298b60
1364564407
143ab9db96
1524dd7360
hex17b67d78

397835640 has 96 divisors (see below), whose sum is σ = 1296051120. Its totient is φ = 105836544.

The previous prime is 397835639. The next prime is 397835651. The reversal of 397835640 is 46538793.

397835640 is a `hidden beast` number, since 3 + 9 + 7 + 83 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187224 + ... + 189336.

Almost surely, 2397835640 is an apocalyptic number.

397835640 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 397835640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648025560).

397835640 is an abundant number, since it is smaller than the sum of its proper divisors (898215480).

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

397835640 is a wasteful number, since it uses less digits than its factorization.

397835640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 397835640 is about 19945.8176067064. The cubic root of 397835640 is about 735.4749671948.

The spelling of 397835640 in words is "three hundred ninety-seven million, eight hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 523 1046 1569 2092 2113 2615 3138 4184 4226 4707 5230 6276 6339 7845 8452 9414 10460 10565 12552 12678 15690 16904 18828 19017 20920 21130 23535 25356 31380 31695 37656 38034 42260 47070 50712 62760 63390 76068 84520 94140 95085 126780 152136 188280 190170 253560 380340 760680 1105099 2210198 3315297 4420396 5525495 6630594 8840792 9945891 11050990 13261188 16576485 19891782 22101980 26522376 33152970 39783564 44203960 49729455 66305940 79567128 99458910 132611880 198917820 397835640