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3397680 = 2433511213
BaseRepresentation
bin1100111101100000110000
320101121202000
430331200300
51332211210
6200454000
740610526
oct14754060
96347660
103397680
111a10800
12117a300
1391c680
14646316
15471ac0
hex33d830

3397680 has 240 divisors, whose sum is σ = 13853280. Its totient is φ = 760320.

The previous prime is 3397679. The next prime is 3397703. The reversal of 3397680 is 867933.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261354 + ... + 261366.

It is an arithmetic number, because the mean of its divisors is an integer number (57722).

Almost surely, 23397680 is an apocalyptic number.

3397680 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 3397680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926640).

3397680 is an abundant number, since it is smaller than the sum of its proper divisors (10455600).

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

3397680 is a wasteful number, since it uses less digits than its factorization.

3397680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

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

The square root of 3397680 is about 1843.2796857775. The cubic root of 3397680 is about 150.3352501573.

The spelling of 3397680 in words is "three million, three hundred ninety-seven thousand, six hundred eighty".