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346109364 = 2232613972
BaseRepresentation
bin10100101000010…
…011010110110100
3220010021011210100
4110220103112310
51202100444424
654202154100
711401611126
oct2450232664
9803234710
10346109364
111684080a7
1297ab2930
1356923353
1433d77216
15205badc9
hex14a135b4

346109364 has 54 divisors (see below), whose sum is σ = 891475494. Its totient is φ = 113192640.

The previous prime is 346109347. The next prime is 346109383. The reversal of 346109364 is 463901643.

346109364 is a `hidden beast` number, since 3 + 4 + 610 + 9 + 36 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23619600 + 322489764 = 4860^2 + 17958^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 871614 + ... + 872010.

Almost surely, 2346109364 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 346109364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445737747).

346109364 is an abundant number, since it is smaller than the sum of its proper divisors (545366130).

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

346109364 is a wasteful number, since it uses less digits than its factorization.

346109364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 346109364 is about 18604.0147280097. The cubic root of 346109364 is about 702.1088539895.

The spelling of 346109364 in words is "three hundred forty-six million, one hundred nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 397 549 732 794 1098 1191 1588 2196 2382 3573 4764 7146 14292 24217 48434 72651 96868 145302 157609 217953 290604 315218 435906 472827 630436 871812 945654 1418481 1891308 2836962 5673924 9614149 19228298 28842447 38456596 57684894 86527341 115369788 173054682 346109364