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3254079920 = 2457133114419
BaseRepresentation
bin1100000111110101…
…0101000110110000
322101210010101110112
43001331111012300
523131021024140
61254522120452
7143432136320
oct30175250660
98353111415
103254079920
11141a930453
12769950128
133cb224ca0
1422c265280
15140a31c65
hexc1f551b0

3254079920 has 160 divisors (see below), whose sum is σ = 9612718080. Its totient is φ = 996572160.

The previous prime is 3254079877. The next prime is 3254079931. The reversal of 3254079920 is 299704523.

It is a super-2 number, since 2×32540799202 = 21178072251494412800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218471 + ... + 232889.

It is an arithmetic number, because the mean of its divisors is an integer number (60079488).

Almost surely, 23254079920 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 3254079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806359040).

3254079920 is an abundant number, since it is smaller than the sum of its proper divisors (6358638160).

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

3254079920 is a wasteful number, since it uses less digits than its factorization.

3254079920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483 (or 14477 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 3254079920 is about 57044.5432973216. The cubic root of 3254079920 is about 1481.8676081906.

The spelling of 3254079920 in words is "three billion, two hundred fifty-four million, seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 31 35 40 52 56 62 65 70 80 91 104 112 124 130 140 155 182 208 217 248 260 280 310 364 403 434 455 496 520 560 620 728 806 868 910 1040 1085 1240 1456 1612 1736 1820 2015 2170 2480 2821 3224 3472 3640 4030 4340 5642 6448 7280 8060 8680 11284 14105 14419 16120 17360 22568 28210 28838 32240 45136 56420 57676 72095 100933 112840 115352 144190 187447 201866 225680 230704 288380 374894 403732 446989 504665 576760 749788 807464 893978 937235 1009330 1153520 1312129 1499576 1614928 1787956 1874470 2018660 2234945 2624258 2999152 3128923 3575912 3748940 4037320 4469890 5248516 5810857 6257846 6560645 7151824 7497880 8074640 8939780 10497032 11621714 12515692 13121290 14995760 15644615 17879560 20994064 23243428 25031384 26242580 29054285 31289230 35759120 40675999 46486856 50062768 52485160 58108570 62578460 81351998 92973712 104970320 116217140 125156920 162703996 203379995 232434280 250313840 325407992 406759990 464868560 650815984 813519980 1627039960 3254079920