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397133436 = 223723121787
BaseRepresentation
bin10111101010111…
…100011001111100
31000200021110122210
4113222330121330
51303131232221
6103223540420
712561402300
oct2752743174
91020243583
10397133436
11194198257
12b0bba710
13643798cb
143aa59d00
1524ce9276
hex17abc67c

397133436 has 72 divisors (see below), whose sum is σ = 1112756736. Its totient is φ = 109801440.

The previous prime is 397133431. The next prime is 397133441. The reversal of 397133436 is 634331793.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (397133431) and next prime (397133441).

It is a junction number, because it is equal to n+sod(n) for n = 397133394 and 397133403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397133431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7335 + ... + 29121.

Almost surely, 2397133436 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 397133436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556378368).

397133436 is an abundant number, since it is smaller than the sum of its proper divisors (715623300).

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

397133436 is a wasteful number, since it uses less digits than its factorization.

397133436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21839 (or 21830 counting only the distinct ones).

The product of its digits is 122472, while the sum is 39.

The square root of 397133436 is about 19928.2070442878. The cubic root of 397133436 is about 735.0419930656.

The spelling of 397133436 in words is "three hundred ninety-seven million, one hundred thirty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1302 1519 2604 3038 4557 6076 9114 18228 21787 43574 65361 87148 130722 152509 261444 305018 457527 610036 675397 915054 1067563 1350794 1830108 2026191 2135126 2701588 3202689 4052382 4270252 4727779 6405378 8104764 9455558 12810756 14183337 18911116 28366674 33094453 56733348 66188906 99283359 132377812 198566718 397133436