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2413022340 = 2235371139619
BaseRepresentation
bin1000111111010011…
…1100110010000100
320020011112020100210
42033310330302010
514420213203330
61035235235420
7113540231361
oct21764746204
96204466323
102413022340
1110290a7443
12574148b70
132c5bc8091
1418c68d468
15e1c998b0
hex8fd3cc84

2413022340 has 96 divisors (see below), whose sum is σ = 7001205120. Its totient is φ = 620476416.

The previous prime is 2413022317. The next prime is 2413022341. The reversal of 2413022340 is 432203142.

2413022340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2413022341) 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, 246051 + ... + 255669.

It is an arithmetic number, because the mean of its divisors is an integer number (72929220).

Almost surely, 22413022340 is an apocalyptic number.

2413022340 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 2413022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500602560).

2413022340 is an abundant number, since it is smaller than the sum of its proper divisors (4588182780).

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

2413022340 is a wasteful number, since it uses less digits than its factorization.

2413022340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9781 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2413022340 is about 49122.5237543838. The cubic root of 2413022340 is about 1341.2830845285.

Adding to 2413022340 its reverse (432203142), we get a palindrome (2845225482).

The spelling of 2413022340 in words is "two billion, four hundred thirteen million, twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 113 148 185 222 226 339 370 444 452 555 565 678 740 1110 1130 1356 1695 2220 2260 3390 4181 6780 8362 9619 12543 16724 19238 20905 25086 28857 38476 41810 48095 50172 57714 62715 83620 96190 115428 125430 144285 192380 250860 288570 355903 577140 711806 1067709 1086947 1423612 1779515 2135418 2173894 3260841 3559030 4270836 4347788 5338545 5434735 6521682 7118060 10677090 10869470 13043364 16304205 21354180 21738940 32608410 40217039 65216820 80434078 120651117 160868156 201085195 241302234 402170390 482604468 603255585 804340780 1206511170 2413022340