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3363320240 = 245729732837
BaseRepresentation
bin1100100001111000…
…0011000110110000
322200101200101000022
43020132003012300
523342002221430
61313423343012
7146226515240
oct31036030660
98611611008
103363320240
111476563305
1279a451a68
13417a52627
1423c97db20
1514a40e4e5
hexc87831b0

3363320240 has 160 divisors (see below), whose sum is σ = 9374935680. Its totient is φ = 1097736192.

The previous prime is 3363320227. The next prime is 3363320243. The reversal of 3363320240 is 420233633.

It is a super-2 number, since 2×33633202402 = 22623846073587315200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3363320243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184102 + ... + 1186938.

It is an arithmetic number, because the mean of its divisors is an integer number (58593348).

Almost surely, 23363320240 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 3363320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687467840).

3363320240 is an abundant number, since it is smaller than the sum of its proper divisors (6011615440).

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

3363320240 is a wasteful number, since it uses less digits than its factorization.

3363320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

The square root of 3363320240 is about 57994.1397039391. The cubic root of 3363320240 is about 1498.2676652997.

Adding to 3363320240 its reverse (420233633), we get a palindrome (3783553873).

The spelling of 3363320240 in words is "three billion, three hundred sixty-three million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 73 80 112 116 140 145 146 203 232 280 290 292 365 406 464 511 560 580 584 730 812 1015 1022 1160 1168 1460 1624 2030 2044 2117 2320 2555 2837 2920 3248 4060 4088 4234 5110 5674 5840 8120 8176 8468 10220 10585 11348 14185 14819 16240 16936 19859 20440 21170 22696 28370 29638 33872 39718 40880 42340 45392 56740 59276 74095 79436 82273 84680 99295 113480 118552 148190 158872 164546 169360 198590 207101 226960 237104 296380 317744 329092 397180 411365 414202 575911 592760 658184 794360 822730 828404 1035505 1151822 1185520 1316368 1449707 1588720 1645460 1656808 2071010 2303644 2879555 2899414 3290920 3313616 4142020 4607288 5759110 5798828 6005929 6581840 7248535 8284040 9214576 11518220 11597656 12011858 14497070 16568080 23036440 23195312 24023716 28994140 30029645 42041503 46072880 48047432 57988280 60059290 84083006 96094864 115976560 120118580 168166012 210207515 240237160 336332024 420415030 480474320 672664048 840830060 1681660120 3363320240