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345136 = 24113753
BaseRepresentation
bin1010100010000110000
3122112102211
41110100300
542021021
611221504
72635141
oct1242060
9575384
10345136
11216340
12147894
13c112c
148dac8
156c3e1
hex54430

345136 has 40 divisors (see below), whose sum is σ = 763344. Its totient is φ = 149760.

The previous prime is 345133. The next prime is 345139. The reversal of 345136 is 631543.

It is an interprime number because it is at equal distance from previous prime (345133) and next prime (345139).

It is a super-3 number, since 3×3451363 = 123336619037626368, which contains 333 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (345133) 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, 6486 + ... + 6538.

2345136 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 345136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381672).

345136 is an abundant number, since it is smaller than the sum of its proper divisors (418208).

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

345136 is a wasteful number, since it uses less digits than its factorization.

345136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 345136 is about 587.4827657047. The cubic root of 345136 is about 70.1450055350.

Adding to 345136 its reverse (631543), we get a palindrome (976679).

The spelling of 345136 in words is "three hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 37 44 53 74 88 106 148 176 212 296 407 424 583 592 814 848 1166 1628 1961 2332 3256 3922 4664 6512 7844 9328 15688 21571 31376 43142 86284 172568 345136