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2412343120 = 245112318039
BaseRepresentation
bin1000111111001001…
…0110111101010000
320020010020201122111
42033302112331100
514420024434440
61035212515104
7113531402215
oct21762267520
96203221574
102412343120
111028783100
12573a7ba94
132c5a1ab85
1418c553b0c
15e1bb34ea
hex8fc96f50

2412343120 has 120 divisors (see below), whose sum is σ = 6364592640. Its totient is φ = 848812800.

The previous prime is 2412343111. The next prime is 2412343133. The reversal of 2412343120 is 213432142.

It is a super-2 number, since 2×24123431202 = 11638798657222668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2412343091 and 2412343100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296061 + ... + 304099.

It is an arithmetic number, because the mean of its divisors is an integer number (53038272).

Almost surely, 22412343120 is an apocalyptic number.

2412343120 is a gapful number since it is divisible by the number (20) 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 2412343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182296320).

2412343120 is an abundant number, since it is smaller than the sum of its proper divisors (3952249520).

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

2412343120 is a wasteful number, since it uses less digits than its factorization.

2412343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8105 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2412343120 is about 49115.6097386564. The cubic root of 2412343120 is about 1341.1572241398.

Adding to 2412343120 its reverse (213432142), we get a palindrome (2625775262).

The spelling of 2412343120 in words is "two billion, four hundred twelve million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 121 124 155 176 220 242 248 310 341 440 484 496 605 620 682 880 968 1210 1240 1364 1705 1936 2420 2480 2728 3410 3751 4840 5456 6820 7502 8039 9680 13640 15004 16078 18755 27280 30008 32156 37510 40195 60016 64312 75020 80390 88429 128624 150040 160780 176858 249209 300080 321560 353716 442145 498418 643120 707432 884290 972719 996836 1246045 1414864 1768580 1945438 1993672 2492090 2741299 3537160 3890876 3987344 4863595 4984180 5482598 7074320 7781752 9727190 9968360 10965196 13706495 15563504 19454380 19936720 21930392 27412990 30154289 38908760 43860784 54825980 60308578 77817520 109651960 120617156 150771445 219303920 241234312 301542890 482468624 603085780 1206171560 2412343120