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345605652 = 223277318787
BaseRepresentation
bin10100100110011…
…000011000010100
3220002022120211100
4110212120120110
51201433340102
654143310100
711364412440
oct2446303024
9802276740
10345605652
111680a3707
12978ab330
13567a7cb2
1433c85820
152051ba1c
hex14998614

345605652 has 72 divisors (see below), whose sum is σ = 1012147136. Its totient is φ = 97386624.

The previous prime is 345605647. The next prime is 345605669. The reversal of 345605652 is 256506543.

It is a happy number.

345605652 is a `hidden beast` number, since 3 + 45 + 605 + 6 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9003 + ... + 27789.

Almost surely, 2345605652 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 345605652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506073568).

345605652 is an abundant number, since it is smaller than the sum of its proper divisors (666541484).

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

345605652 is a wasteful number, since it uses less digits than its factorization.

345605652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18877 (or 18872 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 345605652 is about 18590.4720757704. The cubic root of 345605652 is about 701.7680827401.

The spelling of 345605652 in words is "three hundred forty-five million, six hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 6132 9198 18396 18787 37574 56361 75148 112722 131509 169083 225444 263018 338166 394527 526036 676332 789054 1183581 1371451 1578108 2367162 2742902 4114353 4734324 5485804 8228706 9600157 12343059 16457412 19200314 24686118 28800471 38400628 49372236 57600942 86401413 115201884 172802826 345605652