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2414343100 = 22521313114177
BaseRepresentation
bin1000111111100111…
…1111001110111100
320020021000100002211
42033321333032330
514421032434400
61035323430204
7113554402111
oct21771771674
96207010084
102414343100
111029919784
12574685364
132c626b2b0
1418c914908
15e1e5adba
hex8fe7f3bc

2414343100 has 72 divisors (see below), whose sum is σ = 5685604848. Its totient is φ = 884582400.

The previous prime is 2414343073. The next prime is 2414343149. The reversal of 2414343100 is 13434142.

It is a super-2 number, since 2×24143431002 = 11658105209035220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163212 + ... + 177388.

It is an arithmetic number, because the mean of its divisors is an integer number (78966734).

Almost surely, 22414343100 is an apocalyptic number.

2414343100 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 2414343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842802424).

2414343100 is an abundant number, since it is smaller than the sum of its proper divisors (3271261748).

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

2414343100 is a wasteful number, since it uses less digits than its factorization.

2414343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14335 (or 14328 counting only the distinct ones).

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

The square root of 2414343100 is about 49135.9654428403. The cubic root of 2414343100 is about 1341.5277555516.

Adding to 2414343100 its reverse (13434142), we get a palindrome (2427777242).

The spelling of 2414343100 in words is "two billion, four hundred fourteen million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 131 260 262 325 524 650 655 1300 1310 1703 2620 3275 3406 6550 6812 8515 13100 14177 17030 28354 34060 42575 56708 70885 85150 141770 170300 184301 283540 354425 368602 708850 737204 921505 1417700 1843010 1857187 3686020 3714374 4607525 7428748 9215050 9285935 18430100 18571870 24143431 37143740 46429675 48286862 92859350 96573724 120717155 185718700 241434310 482868620 603585775 1207171550 2414343100