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3042013320 = 233451755229
BaseRepresentation
bin1011010101010001…
…0111000010001000
321212000002021210000
42311110113002020
522212223411240
61221504523000
7135245454333
oct26524270210
97760067700
103042013320
1113211566a5
1270a920460
133963045a8
1420c02161a
1512c0e2430
hexb5517088

3042013320 has 160 divisors (see below), whose sum is σ = 10826184600. Its totient is φ = 763471872.

The previous prime is 3042013313. The next prime is 3042013339. The reversal of 3042013320 is 233102403.

It can be written as a sum of positive squares in 4 ways, for example, as 3027860676 + 14152644 = 55026^2 + 3762^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3042013293 and 3042013302.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 27466 + ... + 82694.

Almost surely, 23042013320 is an apocalyptic number.

3042013320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413092300).

3042013320 is an abundant number, since it is smaller than the sum of its proper divisors (7784171280).

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

3042013320 is a wasteful number, since it uses less digits than its factorization.

3042013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55269 (or 55256 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3042013320 is about 55154.4496844996. The cubic root of 3042013320 is about 1448.9510161804.

Adding to 3042013320 its reverse (233102403), we get a palindrome (3275115723).

The spelling of 3042013320 in words is "three billion, forty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 55229 110458 165687 220916 276145 331374 441832 497061 552290 662748 828435 938893 994122 1104580 1325496 1491183 1656870 1877786 1988244 2209160 2485305 2816679 2982366 3313740 3755572 3976488 4473549 4694465 4970610 5633358 5964732 6627480 7455915 7511144 8450037 8947098 9388930 9941220 11266716 11929464 14083395 14911830 16900074 17894196 18777860 19882440 22367745 22533432 25350111 28166790 29823660 33800148 35788392 37555720 42250185 44735490 50700222 56333580 59647320 67600296 76050333 84500370 89470980 101400444 112667160 126750555 152100666 169000740 178941960 202800888 253501110 304201332 338001480 380251665 507002220 608402664 760503330 1014004440 1521006660 3042013320