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3412680 = 233528439
BaseRepresentation
bin1101000001001011001000
320102101022120
431001023020
51333201210
6201051240
741002335
oct15011310
96371276
103412680
111a20aa7
121186b20
1392644b
1464b98c
15476270
hex3412c8

3412680 has 32 divisors (see below), whose sum is σ = 10238400. Its totient is φ = 910016.

The previous prime is 3412679. The next prime is 3412687. The reversal of 3412680 is 862143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3412680.

It is not an unprimeable number, because it can be changed into a prime (3412687) 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, 14100 + ... + 14339.

It is an arithmetic number, because the mean of its divisors is an integer number (319950).

Almost surely, 23412680 is an apocalyptic number.

3412680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412680 is an abundant number, since it is smaller than the sum of its proper divisors (6825720).

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

3412680 is a wasteful number, since it uses less digits than its factorization.

3412680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28453 (or 28449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3412680 is about 1847.3440394253. The cubic root of 3412680 is about 150.5561575985.

The spelling of 3412680 in words is "three million, four hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 28439 56878 85317 113756 142195 170634 227512 284390 341268 426585 568780 682536 853170 1137560 1706340 3412680