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350034464 = 25137910651
BaseRepresentation
bin10100110111010…
…001101000100000
3220101122121000102
4110313101220200
51204102100324
654422241532
711450146433
oct2467215040
9811577012
10350034464
1116a64908a
12992862a8
1357698ab0
14346b981a
1520ae3dae
hex14dd1a20

350034464 has 48 divisors (see below), whose sum is σ = 751605120. Its totient is φ = 159494400.

The previous prime is 350034463. The next prime is 350034469. The reversal of 350034464 is 464430053.

350034464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (350034463) 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, 27539 + ... + 38189.

It is an arithmetic number, because the mean of its divisors is an integer number (15658440).

Almost surely, 2350034464 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 350034464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375802560).

350034464 is an abundant number, since it is smaller than the sum of its proper divisors (401570656).

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

350034464 is a wasteful number, since it uses less digits than its factorization.

350034464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10753 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 350034464 is about 18709.2080003404. The cubic root of 350034464 is about 704.7530036952.

The spelling of 350034464 in words is "three hundred fifty million, thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 79 104 158 208 316 416 632 1027 1264 2054 2528 4108 8216 10651 16432 21302 32864 42604 85208 138463 170416 276926 340832 553852 841429 1107704 1682858 2215408 3365716 4430816 6731432 10938577 13462864 21877154 26925728 43754308 87508616 175017232 350034464