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3346680 = 23351672
BaseRepresentation
bin1100110001000011111000
320022000210010
430301003320
51324043210
6155421520
740306041
oct14610370
96260703
103346680
111986457
1211548a0
139023ac
146318c8
15461920
hex3310f8

3346680 has 48 divisors (see below), whose sum is σ = 10100520. Its totient is φ = 887104.

The previous prime is 3346669. The next prime is 3346709. The reversal of 3346680 is 866433.

3346680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33466802 = 22400534044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19957 + ... + 20123.

Almost surely, 23346680 is an apocalyptic number.

3346680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3346680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050260).

3346680 is an abundant number, since it is smaller than the sum of its proper divisors (6753840).

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

3346680 is a wasteful number, since it uses less digits than its factorization.

3346680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3346680 is about 1829.3933420673. The cubic root of 3346680 is about 149.5792654306.

Multiplying 3346680 by its sum of digits (30), we get a square (100400400 = 100202).

3346680 divided by its sum of digits (30) gives a square (111556 = 3342).

The spelling of 3346680 in words is "three million, three hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 501 668 835 1002 1336 1670 2004 2505 3340 4008 5010 6680 10020 20040 27889 55778 83667 111556 139445 167334 223112 278890 334668 418335 557780 669336 836670 1115560 1673340 3346680