Search a number
-
+
397021464 = 233273125411
BaseRepresentation
bin10111101010100…
…001000100011000
31000200001210001200
4113222201010120
51303114141324
6103221314200
712560424660
oct2752410430
91020053050
10397021464
11194121114
12b0b65960
136433a958
143aa2b1a0
1524cc5ec9
hex17aa1118

397021464 has 96 divisors (see below), whose sum is σ = 1268567040. Its totient is φ = 109771200.

The previous prime is 397021441. The next prime is 397021483. The reversal of 397021464 is 464120793.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2919 + ... + 28329.

It is an arithmetic number, because the mean of its divisors is an integer number (13214240).

Almost surely, 2397021464 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 397021464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634283520).

397021464 is an abundant number, since it is smaller than the sum of its proper divisors (871545576).

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

397021464 is a wasteful number, since it uses less digits than its factorization.

397021464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25461 (or 25454 counting only the distinct ones).

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

The square root of 397021464 is about 19925.3974615314. The cubic root of 397021464 is about 734.9729047349.

The spelling of 397021464 in words is "three hundred ninety-seven million, twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 25411 50822 76233 101644 152466 177877 203288 228699 304932 355754 457398 533631 609864 711508 787741 914796 1067262 1423016 1575482 1600893 1829592 2134524 2363223 3150964 3201786 4269048 4726446 5514187 6301928 6403572 7089669 9452892 11028374 12807144 14179338 16542561 18905784 22056748 28358676 33085122 44113496 49627683 56717352 66170244 99255366 132340488 198510732 397021464