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345718784 = 21421101
BaseRepresentation
bin10100100110110…
…100000000000000
3220002112100000102
4110212310000000
51202001000114
654145541532
711365363325
oct2446640000
9802470012
10345718784
11168170704
12979448a8
1356817638
1433cb4b4c
15205402de
hex149b4000

345718784 has 30 divisors (see below), whose sum is σ = 691449234. Its totient is φ = 172851200.

The previous prime is 345718759. The next prime is 345718837. The reversal of 345718784 is 487817543.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 256000000 + 89718784 = 16000^2 + 9472^2 .

It is a super-2 number, since 2×3457187842 = 239042955220877312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5834 + ... + 26934.

Almost surely, 2345718784 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 345718784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345724617).

345718784 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

345718784 is an frugal number, since it uses more digits than its factorization.

345718784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21129 (or 21103 counting only the distinct ones).

The product of its digits is 752640, while the sum is 47.

The square root of 345718784 is about 18593.5145682574. The cubic root of 345718784 is about 701.8446476197.

The spelling of 345718784 in words is "three hundred forty-five million, seven hundred eighteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 21101 42202 84404 168808 337616 675232 1350464 2700928 5401856 10803712 21607424 43214848 86429696 172859392 345718784