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3395680 = 255191117
BaseRepresentation
bin1100111101000001100000
320101111222221
430331001200
51332130210
6200440424
740601641
oct14750140
96344887
103395680
111a0a252
121179114
1391b7a2
146456c8
154711da
hex33d060

3395680 has 48 divisors (see below), whose sum is σ = 8452080. Its totient is φ = 1285632.

The previous prime is 3395671. The next prime is 3395681. The reversal of 3395680 is 865933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2482 + ... + 3598.

It is an arithmetic number, because the mean of its divisors is an integer number (176085).

Almost surely, 23395680 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 3395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226040).

3395680 is an abundant number, since it is smaller than the sum of its proper divisors (5056400).

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

3395680 is a wasteful number, since it uses less digits than its factorization.

3395680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 3395680 is about 1842.7370946502. The cubic root of 3395680 is about 150.3057467398.

The spelling of 3395680 in words is "three million, three hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1117 1520 2234 3040 4468 5585 8936 11170 17872 21223 22340 35744 42446 44680 84892 89360 106115 169784 178720 212230 339568 424460 679136 848920 1697840 3395680