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345774 = 231113231
BaseRepresentation
bin1010100011010101110
3122120022110
41110122232
542031044
611224450
72640042
oct1243256
9576273
10345774
11216870
12148126
13c1500
1490022
156c6b9
hex546ae

345774 has 48 divisors (see below), whose sum is σ = 843264. Its totient is φ = 93600.

The previous prime is 345773. The next prime is 345791. The reversal of 345774 is 477543.

Its product of digits (11760) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11139 + ... + 11169.

It is an arithmetic number, because the mean of its divisors is an integer number (17568).

2345774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421632).

345774 is an abundant number, since it is smaller than the sum of its proper divisors (497490).

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

345774 is a wasteful number, since it uses less digits than its factorization.

345774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its digits is 11760, while the sum is 30.

The square root of 345774 is about 588.0255096507. The cubic root of 345774 is about 70.1882010348.

Subtracting from 345774 its sum of digits (30), we obtain a square (345744 = 5882).

Subtracting 345774 from its reverse (477543), we obtain a square (131769 = 3632).

The spelling of 345774 in words is "three hundred forty-five thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 169 186 286 338 341 403 429 507 682 806 858 1014 1023 1209 1859 2046 2418 3718 4433 5239 5577 8866 10478 11154 13299 15717 26598 31434 57629 115258 172887 345774