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3468612 = 2237217347
BaseRepresentation
bin1101001110110101000100
320112020001010
431032311010
51341443422
6202202220
741324400
oct15166504
96466033
103468612
111a5a024
1211b3370
13945a44
14664100
15487b0c
hex34ed44

3468612 has 72 divisors (see below), whose sum is σ = 9997344. Its totient is φ = 930048.

The previous prime is 3468611. The next prime is 3468613. The reversal of 3468612 is 2168643.

3468612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3468611) and next prime (3468613).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 3468612.

It is not an unprimeable number, because it can be changed into a prime (3468611) by changing a digit.

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, 9823 + ... + 10169.

It is an arithmetic number, because the mean of its divisors is an integer number (138852).

Almost surely, 23468612 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 3468612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998672).

3468612 is an abundant number, since it is smaller than the sum of its proper divisors (6528732).

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

3468612 is a wasteful number, since it uses less digits than its factorization.

3468612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3468612 is about 1862.4210050362. The cubic root of 3468612 is about 151.3742161965.

The spelling of 3468612 in words is "three million, four hundred sixty-eight thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 347 357 476 588 694 714 833 1041 1388 1428 1666 2082 2429 2499 3332 4164 4858 4998 5899 7287 9716 9996 11798 14574 17003 17697 23596 29148 34006 35394 41293 51009 68012 70788 82586 102018 123879 165172 204036 247758 289051 495516 578102 867153 1156204 1734306 3468612