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3214980 = 2232553337
BaseRepresentation
bin1100010000111010000100
320001100010100
430100322010
51310334410
6152524100
736220056
oct14207204
96040110
103214980
1118a650a
1210b0630
13887472
145d98d6
154378c0
hex310e84

3214980 has 72 divisors (see below), whose sum is σ = 9965592. Its totient is φ = 838656.

The previous prime is 3214949. The next prime is 3214997. The reversal of 3214980 is 894123.

It can be written as a sum of positive squares in 4 ways, for example, as 311364 + 2903616 = 558^2 + 1704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9372 + ... + 9708.

It is an arithmetic number, because the mean of its divisors is an integer number (138411).

Almost surely, 23214980 is an apocalyptic number.

3214980 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 3214980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982796).

3214980 is an abundant number, since it is smaller than the sum of its proper divisors (6750612).

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

3214980 is a wasteful number, since it uses less digits than its factorization.

3214980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3214980 is about 1793.0365305816. The cubic root of 3214980 is about 147.5908470320.

The spelling of 3214980 in words is "three million, two hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 337 477 530 636 674 795 954 1011 1060 1348 1590 1685 1908 2022 2385 3033 3180 3370 4044 4770 5055 6066 6740 9540 10110 12132 15165 17861 20220 30330 35722 53583 60660 71444 89305 107166 160749 178610 214332 267915 321498 357220 535830 642996 803745 1071660 1607490 3214980