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8354164 = 2271359389
BaseRepresentation
bin11111110111100101110100
3120201102202111
4133313211310
54114313124
6455020404
7131003110
oct37674564
916642674
108354164
114796675
12296a704
1319666c0
141176740
15b00494
hex7f7974

8354164 has 48 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 3240576.

The previous prime is 8354161. The next prime is 8354173. The reversal of 8354164 is 4614538.

It is a happy number.

It is a super-2 number, since 2×83541642 = 139584112277792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8354161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21282 + ... + 21670.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 28354164 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 8354164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172800).

8354164 is an abundant number, since it is smaller than the sum of its proper divisors (9991436).

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

8354164 is a wasteful number, since it uses less digits than its factorization.

8354164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 8354164 is about 2890.3570713668. The cubic root of 8354164 is about 202.9088543884.

The spelling of 8354164 in words is "eight million, three hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 182 236 364 389 413 767 778 826 1534 1556 1652 2723 3068 5057 5369 5446 10114 10738 10892 20228 21476 22951 35399 45902 70798 91804 141596 160657 298363 321314 596726 642628 1193452 2088541 4177082 8354164