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345490782 = 237135311939
BaseRepresentation
bin10100100101111…
…100010101011110
3220002002202020220
4110211330111132
51201421201112
654141022210
711363423520
oct2445742536
9802082226
10345490782
1116802537a
1297854966
1356767920
1433c55a10
15204e798c
hex1497c55e

345490782 has 64 divisors (see below), whose sum is σ = 866557440. Its totient is φ = 89391744.

The previous prime is 345490781. The next prime is 345490807. The reversal of 345490782 is 287094543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345490781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22969 + ... + 34907.

It is an arithmetic number, because the mean of its divisors is an integer number (13539960).

Almost surely, 2345490782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345490782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433278720).

345490782 is an abundant number, since it is smaller than the sum of its proper divisors (521066658).

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

345490782 is a wasteful number, since it uses less digits than its factorization.

345490782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12017.

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 345490782 is about 18587.3823331851. The cubic root of 345490782 is about 701.6903245284.

The spelling of 345490782 in words is "three hundred forty-five million, four hundred ninety thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 2067 2226 4134 4823 9646 11939 14469 23878 28938 35817 71634 83573 155207 167146 250719 310414 465621 501438 632767 931242 1086449 1265534 1898301 2172898 3259347 3796602 4429369 6518694 8225971 8858738 13288107 16451942 24677913 26576214 49355826 57581797 115163594 172745391 345490782