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397474440 = 2335111272371
BaseRepresentation
bin10111101100001…
…111101010001000
31000200220210102120
4113230033222020
51303223140230
6103235131240
712564322416
oct2754175210
91020823376
10397474440
11194400480
12b1143b20
1364468b9c
143ab082b6
1524d65310
hex17b0fa88

397474440 has 128 divisors (see below), whose sum is σ = 1311621120. Its totient is φ = 95558400.

The previous prime is 397474439. The next prime is 397474487. The reversal of 397474440 is 44474793.

It is a junction number, because it is equal to n+sod(n) for n = 397474392 and 397474401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166455 + ... + 168825.

It is an arithmetic number, because the mean of its divisors is an integer number (10247040).

Almost surely, 2397474440 is an apocalyptic number.

397474440 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 397474440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655810560).

397474440 is an abundant number, since it is smaller than the sum of its proper divisors (914146680).

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

397474440 is a wasteful number, since it uses less digits than its factorization.

397474440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 397474440 is about 19936.7610207877. The cubic root of 397474440 is about 735.2523174632.

The spelling of 397474440 in words is "three hundred ninety-seven million, four hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 127 132 165 220 254 264 330 381 440 508 635 660 762 1016 1270 1320 1397 1524 1905 2371 2540 2794 3048 3810 4191 4742 5080 5588 6985 7113 7620 8382 9484 11176 11855 13970 14226 15240 16764 18968 20955 23710 26081 27940 28452 33528 35565 41910 47420 52162 55880 56904 71130 78243 83820 94840 104324 130405 142260 156486 167640 208648 260810 284520 301117 312972 391215 521620 602234 625944 782430 903351 1043240 1204468 1505585 1564860 1806702 2408936 3011170 3129720 3312287 3613404 4516755 6022340 6624574 7226808 9033510 9936861 12044680 13249148 16561435 18067020 19873722 26498296 33122870 36134040 39747444 49684305 66245740 79494888 99368610 132491480 198737220 397474440