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345464 = 23731199
BaseRepresentation
bin1010100010101111000
3122112212222
41110111320
542023324
611223212
72636120
oct1242570
9575788
10345464
11216609
12147b08
13c1322
148dc80
156c55e
hex54578

345464 has 32 divisors (see below), whose sum is σ = 768000. Its totient is φ = 142560.

The previous prime is 345463. The next prime is 345473. The reversal of 345464 is 464543.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345464.

It is not an unprimeable number, because it can be changed into a prime (345461) 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, 1637 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (24000).

2345464 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 345464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384000).

345464 is an abundant number, since it is smaller than the sum of its proper divisors (422536).

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

345464 is a wasteful number, since it uses less digits than its factorization.

345464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 345464 is about 587.7618565372. The cubic root of 345464 is about 70.1672192683.

The spelling of 345464 in words is "three hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 199 217 248 398 434 796 868 1393 1592 1736 2786 5572 6169 11144 12338 24676 43183 49352 86366 172732 345464