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354364912 = 241114913513
BaseRepresentation
bin10101000111110…
…010110111110000
3220200210121021101
4111013302313300
51211204134122
655055134144
711532023566
oct2507626760
9820717241
10354364912
11172036670
129a814354
1358553ba5
14350c5a36
152119c027
hex151f2df0

354364912 has 40 divisors (see below), whose sum is σ = 754081200. Its totient is φ = 159982080.

The previous prime is 354364889. The next prime is 354364919. The reversal of 354364912 is 219463453.

354364912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354364919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19468 + ... + 32980.

It is an arithmetic number, because the mean of its divisors is an integer number (18852030).

Almost surely, 2354364912 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 354364912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377040600).

354364912 is an abundant number, since it is smaller than the sum of its proper divisors (399716288).

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

354364912 is a wasteful number, since it uses less digits than its factorization.

354364912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13681 (or 13675 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 354364912 is about 18824.5826514162. The cubic root of 354364912 is about 707.6473820495.

The spelling of 354364912 in words is "three hundred fifty-four million, three hundred sixty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 298 596 1192 1639 2384 3278 6556 13112 13513 26224 27026 54052 108104 148643 216208 297286 594572 1189144 2013437 2378288 4026874 8053748 16107496 22147807 32214992 44295614 88591228 177182456 354364912