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3468384 = 253212043
BaseRepresentation
bin1101001110110001100000
320112012201200
431032301200
51341442014
6202201200
741323623
oct15166140
96465650
103468384
111a59937
1211b3200
139458ca
14663dba
15487a09
hex34ec60

3468384 has 36 divisors (see below), whose sum is σ = 9864036. Its totient is φ = 1156032.

The previous prime is 3468379. The next prime is 3468401. The reversal of 3468384 is 4838643.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5734 + ... + 6309.

It is an arithmetic number, because the mean of its divisors is an integer number (274001).

Almost surely, 23468384 is an apocalyptic number.

It is an amenable number.

3468384 is an abundant number, since it is smaller than the sum of its proper divisors (6395652).

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

3468384 is a wasteful number, since it uses less digits than its factorization.

3468384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12059 (or 12048 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3468384 is about 1862.3597933804. The cubic root of 3468384 is about 151.3708993964.

The spelling of 3468384 in words is "three million, four hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12043 24086 36129 48172 72258 96344 108387 144516 192688 216774 289032 385376 433548 578064 867096 1156128 1734192 3468384