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354148564 = 227111497717
BaseRepresentation
bin10101000110111…
…110000011010100
3220200101121111111
4111012332003110
51211130223224
655050344404
711530133050
oct2506760324
9820347444
10354148564
111719a9070
129a72b104
13584a9583
143506ac60
1521157d94
hex151be0d4

354148564 has 48 divisors (see below), whose sum is σ = 777974400. Its totient is φ = 137036160.

The previous prime is 354148541. The next prime is 354148637. The reversal of 354148564 is 465841453.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42034 + ... + 49750.

It is an arithmetic number, because the mean of its divisors is an integer number (16207800).

Almost surely, 2354148564 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 354148564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388987200).

354148564 is an abundant number, since it is smaller than the sum of its proper divisors (423825836).

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

354148564 is a wasteful number, since it uses less digits than its factorization.

354148564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 7886 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 354148564 is about 18818.8353518490. The cubic root of 354148564 is about 707.5033410173.

The spelling of 354148564 in words is "three hundred fifty-four million, one hundred forty-eight thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 149 154 298 308 596 1043 1639 2086 3278 4172 6556 7717 11473 15434 22946 30868 45892 54019 84887 108038 169774 216076 339548 594209 1149833 1188418 2299666 2376836 4599332 8048831 12648163 16097662 25296326 32195324 50592652 88537141 177074282 354148564