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396538164 = 2232114392281
BaseRepresentation
bin10111101000101…
…011000100110100
31000122011020002200
4113220223010310
51303003210124
6103203104500
712553342641
oct2750530464
91018136080
10396538164
11193920aa0
12b0972130
13641cb989
143a942dc8
1524c2cbc9
hex17a2b134

396538164 has 72 divisors (see below), whose sum is σ = 1096455360. Its totient is φ = 119836800.

The previous prime is 396538159. The next prime is 396538169. The reversal of 396538164 is 461835693.

It is an interprime number because it is at equal distance from previous prime (396538159) and next prime (396538169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396538169) 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, 172704 + ... + 174984.

Almost surely, 2396538164 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 396538164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548227680).

396538164 is an abundant number, since it is smaller than the sum of its proper divisors (699917196).

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

396538164 is a wasteful number, since it uses less digits than its factorization.

396538164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2736 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 396538164 is about 19913.2660304632. The cubic root of 396538164 is about 734.6745525720.

The spelling of 396538164 in words is "three hundred ninety-six million, five hundred thirty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 439 878 1317 1756 2281 2634 3951 4562 4829 5268 6843 7902 9124 9658 13686 14487 15804 19316 20529 25091 27372 28974 41058 43461 50182 57948 75273 82116 86922 100364 150546 173844 225819 301092 451638 903276 1001359 2002718 3004077 4005436 6008154 9012231 11014949 12016308 18024462 22029898 33044847 36048924 44059796 66089694 99134541 132179388 198269082 396538164