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2341411314 = 2311471993793
BaseRepresentation
bin1000101110001111…
…0001100111110010
320001011210000111120
42023203301213302
514243400130224
61024200323110
7112010445024
oct21343614762
96034700446
102341411314
11aa1735a80
12554173496
132b41141a8
14182d6c014
15da851779
hex8b8f19f2

2341411314 has 64 divisors (see below), whose sum is σ = 5244825600. Its totient is φ = 690750720.

The previous prime is 2341411273. The next prime is 2341411351. The reversal of 2341411314 is 4131141432.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 615402 + ... + 619194.

It is an arithmetic number, because the mean of its divisors is an integer number (81950400).

Almost surely, 22341411314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2341411314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622412800).

2341411314 is an abundant number, since it is smaller than the sum of its proper divisors (2903414286).

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

2341411314 is a wasteful number, since it uses less digits than its factorization.

2341411314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055.

The product of its digits is 1152, while the sum is 24.

The square root of 2341411314 is about 48388.1319540236. The cubic root of 2341411314 is about 1327.8812467146.

Adding to 2341411314 its reverse (4131141432), we get a palindrome (6472552746).

The spelling of 2341411314 in words is "two billion, three hundred forty-one million, four hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 199 282 398 517 597 1034 1194 1551 2189 3102 3793 4378 6567 7586 9353 11379 13134 18706 22758 28059 41723 56118 83446 102883 125169 178271 205766 250338 308649 356542 534813 617298 754807 1069626 1509614 1960981 2264421 3921962 4528842 5882943 8302877 11765886 16605754 24908631 35475929 49817262 70951858 106427787 212855574 390235219 780470438 1170705657 2341411314