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3009640704 = 28373118059
BaseRepresentation
bin1011001101100011…
…0111100100000000
321202202011120220020
42303120313210000
522130432000304
61214351013440
7134403344460
oct26330674400
97682146806
103009640704
111304955674
126bbb0a280
1338c6ab6b5
142079d5ba0
1512934a5d9
hexb3637900

3009640704 has 144 divisors (see below), whose sum is σ = 9450147840. Its totient is φ = 832112640.

The previous prime is 3009640703. The next prime is 3009640709. The reversal of 3009640704 is 4070469003.

It is not an unprimeable number, because it can be changed into a prime (3009640703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157627 + ... + 175685.

Almost surely, 23009640704 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 3009640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725073920).

3009640704 is an abundant number, since it is smaller than the sum of its proper divisors (6440507136).

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

3009640704 is a wasteful number, since it uses less digits than its factorization.

3009640704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18116 (or 18102 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3009640704 is about 54860.1923438116. The cubic root of 3009640704 is about 1443.7928407070.

The spelling of 3009640704 in words is "three billion, nine million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13888 18059 20832 23808 27776 36118 41664 54177 55552 72236 83328 108354 126413 144472 166656 216708 252826 288944 379239 433416 505652 559829 577888 758478 866832 1011304 1119658 1155776 1516956 1679487 1733664 2022608 2239316 2311552 3033912 3358974 3467328 3918803 4045216 4478632 4623104 6067824 6717948 6934656 7837606 8090432 8957264 11756409 12135648 13435896 13869312 15675212 16180864 17914528 23512818 24271296 26871792 31350424 32361728 35829056 47025636 48542592 53743584 62700848 71658112 94051272 97085184 107487168 125401696 143316224 188102544 214974336 250803392 376205088 429948672 501606784 752410176 1003213568 1504820352 3009640704