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10354164 = 2231945413
BaseRepresentation
bin100111011111…
…110111110100
3201111001020120
4213133313310
510122313124
61005531540
7154003032
oct47376764
921431216
1010354164
115932267
123573bb0
1321b6b32
141537552
15d97d79
hex9dfdf4

10354164 has 24 divisors (see below), whose sum is σ = 25431840. Its totient is φ = 3269664.

The previous prime is 10354111. The next prime is 10354177. The reversal of 10354164 is 46145301.

It is a super-3 number, since 3×103541643 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22479 + ... + 22934.

It is an arithmetic number, because the mean of its divisors is an integer number (1059660).

Almost surely, 210354164 is an apocalyptic number.

It is an amenable number.

10354164 is an abundant number, since it is smaller than the sum of its proper divisors (15077676).

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

10354164 is a wasteful number, since it uses less digits than its factorization.

10354164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45439 (or 45437 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10354164 is about 3217.7886816881. The cubic root of 10354164 is about 217.9574307363.

Adding to 10354164 its reverse (46145301), we get a palindrome (56499465).

The spelling of 10354164 in words is "ten million, three hundred fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 45413 90826 136239 181652 272478 544956 862847 1725694 2588541 3451388 5177082 10354164