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3396780 = 22325113167
BaseRepresentation
bin1100111101010010101100
320101120111200
430331102230
51332144110
6200445500
740605102
oct14752254
96346450
103396780
111a10062
121179890
1391c13a
14645c72
154716c0
hex33d4ac

3396780 has 72 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 892416.

The previous prime is 3396761. The next prime is 3396781. The reversal of 3396780 is 876933.

It is a super-2 number, since 2×33967802 = 23076228736800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3396781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20257 + ... + 20423.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 23396780 is an apocalyptic number.

3396780 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 3396780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

3396780 is an abundant number, since it is smaller than the sum of its proper divisors (7060212).

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

3396780 is a wasteful number, since it uses less digits than its factorization.

3396780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3396780 is about 1843.0355395380. The cubic root of 3396780 is about 150.3219750526.

The spelling of 3396780 in words is "three million, three hundred ninety-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 167 180 226 334 339 452 501 565 668 678 835 1002 1017 1130 1356 1503 1670 1695 2004 2034 2260 2505 3006 3340 3390 4068 5010 5085 6012 6780 7515 10020 10170 15030 18871 20340 30060 37742 56613 75484 94355 113226 169839 188710 226452 283065 339678 377420 566130 679356 849195 1132260 1698390 3396780