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3245310640 = 2451113319151
BaseRepresentation
bin1100000101101111…
…1000001010110000
322101011121212021101
43001123320022300
523121244420030
61254010134144
7143264454025
oct30133701260
98334555241
103245310640
111415990a10
12766a21354
133c9474670
1422b02154c
1513ed9d7ca
hexc16f82b0

3245310640 has 160 divisors (see below), whose sum is σ = 9151414272. Its totient is φ = 1054080000.

The previous prime is 3245310611. The next prime is 3245310647. The reversal of 3245310640 is 460135423.

It is a junction number, because it is equal to n+sod(n) for n = 3245310599 and 3245310608.

It is not an unprimeable number, because it can be changed into a prime (3245310647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350065 + ... + 359215.

Almost surely, 23245310640 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 3245310640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575707136).

3245310640 is an abundant number, since it is smaller than the sum of its proper divisors (5906103632).

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

3245310640 is a wasteful number, since it uses less digits than its factorization.

3245310640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3245310640 is about 56967.6280004706. The cubic root of 3245310640 is about 1480.5352702282.

The spelling of 3245310640 in words is "three billion, two hundred forty-five million, three hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 155 176 208 220 248 260 286 310 341 403 440 496 520 572 620 682 715 806 880 1040 1144 1240 1364 1430 1612 1705 2015 2288 2480 2728 2860 3224 3410 4030 4433 5456 5720 6448 6820 8060 8866 9151 11440 13640 16120 17732 18302 22165 27280 32240 35464 36604 44330 45755 70928 73208 88660 91510 100661 118963 146416 177320 183020 201322 237926 283681 354640 366040 402644 475852 503305 567362 594815 732080 805288 951704 1006610 1134724 1189630 1308593 1418405 1610576 1903408 2013220 2269448 2379260 2617186 2836810 3120491 3687853 4026440 4538896 4758520 5234372 5673620 6240982 6542965 7375706 8052880 9517040 10468744 11347240 12481964 13085930 14751412 15602455 18439265 20937488 22694480 24963928 26171860 29502824 31204910 36878530 40566383 49927856 52343720 59005648 62409820 73757060 81132766 104687440 124819640 147514120 162265532 202831915 249639280 295028240 324531064 405663830 649062128 811327660 1622655320 3245310640