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397419504 = 243193114057
BaseRepresentation
bin10111101100000…
…010001111110000
31000200211000001220
4113230002033300
51303214411004
6103234025040
712564003306
oct2754021760
91020730056
10397419504
11194373179
12b1118180
1364449b91
143aad2276
1524d53dd9
hex17b023f0

397419504 has 80 divisors (see below), whose sum is σ = 1115642880. Its totient is φ = 121443840.

The previous prime is 397419481. The next prime is 397419511. The reversal of 397419504 is 405914793.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 21244 + ... + 35300.

It is an arithmetic number, because the mean of its divisors is an integer number (13945536).

Almost surely, 2397419504 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 397419504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557821440).

397419504 is an abundant number, since it is smaller than the sum of its proper divisors (718223376).

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

397419504 is a wasteful number, since it uses less digits than its factorization.

397419504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14118 (or 14112 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 397419504 is about 19935.3832167832. The cubic root of 397419504 is about 735.2184421760.

The spelling of 397419504 in words is "three hundred ninety-seven million, four hundred nineteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 9424 14057 14136 28114 28272 42171 56228 84342 112456 168684 224912 267083 337368 435767 534166 674736 801249 871534 1068332 1307301 1602498 1743068 2136664 2614602 3204996 3486136 4273328 5229204 6409992 6972272 8279573 10458408 12819984 16559146 20916816 24838719 33118292 49677438 66236584 99354876 132473168 198709752 397419504