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3457368 = 2332311549
BaseRepresentation
bin1101001100000101011000
320111122121200
431030011120
51341113433
6202034200
741246535
oct15140530
96448550
103457368
111a51632
1211a8960
139408a5
1465dd8c
15484613
hex34c158

3457368 has 48 divisors (see below), whose sum is σ = 9672000. Its totient is φ = 1114560.

The previous prime is 3457361. The next prime is 3457381. The reversal of 3457368 is 8637543.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3457361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1458 + ... + 3006.

It is an arithmetic number, because the mean of its divisors is an integer number (201500).

Almost surely, 23457368 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 3457368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836000).

3457368 is an abundant number, since it is smaller than the sum of its proper divisors (6214632).

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

3457368 is a wasteful number, since it uses less digits than its factorization.

3457368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1585 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3457368 is about 1859.3999031946. The cubic root of 3457368 is about 151.2104721058.

It can be divided in two parts, 345736 and 8, that added together give a square (345744 = 5882).

The spelling of 3457368 in words is "three million, four hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1549 2232 3098 4647 6196 9294 12392 13941 18588 27882 37176 48019 55764 96038 111528 144057 192076 288114 384152 432171 576228 864342 1152456 1728684 3457368