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345363432 = 23317899511
BaseRepresentation
bin10100100101011…
…101001111101000
3220001212021120020
4110211131033220
51201403112212
654134200440
711362353321
oct2445351750
9801767506
10345363432
11167a48727
12977b3120
135672197b
1433c21448
15204bed8c
hex1495d3e8

345363432 has 64 divisors (see below), whose sum is σ = 924566400. Its totient is φ = 107120640.

The previous prime is 345363413. The next prime is 345363433. The reversal of 345363432 is 234363543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 345363393 and 345363402.

It is not an unprimeable number, because it can be changed into a prime (345363433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31557 + ... + 41067.

It is an arithmetic number, because the mean of its divisors is an integer number (14446350).

Almost surely, 2345363432 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 345363432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462283200).

345363432 is an abundant number, since it is smaller than the sum of its proper divisors (579202968).

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

345363432 is a wasteful number, since it uses less digits than its factorization.

345363432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626 (or 9622 counting only the distinct ones).

The product of its digits is 77760, while the sum is 33.

The square root of 345363432 is about 18583.9563064489. The cubic root of 345363432 is about 701.6040981616.

The spelling of 345363432 in words is "three hundred forty-five million, three hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 356 408 534 712 1068 1513 2136 3026 4539 6052 9078 9511 12104 18156 19022 28533 36312 38044 57066 76088 114132 161687 228264 323374 485061 646748 846479 970122 1293496 1692958 1940244 2539437 3385916 3880488 5078874 6771832 10157748 14390143 20315496 28780286 43170429 57560572 86340858 115121144 172681716 345363432