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3980288 = 21013223
BaseRepresentation
bin1111001011110000000000
321111012221002
433023300000
52004332123
6221151132
745555224
oct17136000
97435832
103980288
1122794a4
1213bb4a8
13a94900
14758784
15539528
hex3cbc00

3980288 has 66 divisors (see below), whose sum is σ = 8990424. Its totient is φ = 1757184.

The previous prime is 3980287. The next prime is 3980299. The reversal of 3980288 is 8820893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980281) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173045 + ... + 173067.

Almost surely, 23980288 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 3980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495212).

3980288 is an abundant number, since it is smaller than the sum of its proper divisors (5010136).

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

3980288 is a wasteful number, since it uses less digits than its factorization.

3980288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 3980288 is about 1995.0659136981. The cubic root of 3980288 is about 158.4789186038.

The spelling of 3980288 in words is "three million, nine hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 169 184 208 256 299 338 368 416 512 598 676 736 832 1024 1196 1352 1472 1664 2392 2704 2944 3328 3887 4784 5408 5888 6656 7774 9568 10816 11776 13312 15548 19136 21632 23552 31096 38272 43264 62192 76544 86528 124384 153088 173056 248768 306176 497536 995072 1990144 3980288