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3242414130 = 235613974463
BaseRepresentation
bin1100000101000011…
…0101000000110010
322100222011201000020
43001100311000302
523120024223010
61253424104310
7143231031264
oct30120650062
98328151006
103242414130
1114142927aa
12765a65096
133c899c157
1422a8a9b34
1513e9ca470
hexc1435032

3242414130 has 64 divisors (see below), whose sum is σ = 7931063808. Its totient is φ = 848136960.

The previous prime is 3242414129. The next prime is 3242414177. The reversal of 3242414130 is 314142423.

It is a self number, because there is not a number n which added to its sum of digits gives 3242414130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724279 + ... + 728741.

It is an arithmetic number, because the mean of its divisors is an integer number (123922872).

Almost surely, 23242414130 is an apocalyptic number.

3242414130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3242414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965531904).

3242414130 is an abundant number, since it is smaller than the sum of its proper divisors (4688649678).

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

3242414130 is a wasteful number, since it uses less digits than its factorization.

3242414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3242414130 is about 56942.1999048158. The cubic root of 3242414130 is about 1480.0946691939.

Adding to 3242414130 its reverse (314142423), we get a palindrome (3556556553).

The spelling of 3242414130 in words is "three billion, two hundred forty-two million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 397 610 794 915 1191 1830 1985 2382 3970 4463 5955 8926 11910 13389 22315 24217 26778 44630 48434 66945 72651 121085 133890 145302 242170 272243 363255 544486 726510 816729 1361215 1633458 1771811 2722430 3543622 4083645 5315433 8167290 8859055 10630866 17718110 26577165 53154330 108080471 216160942 324241413 540402355 648482826 1080804710 1621207065 3242414130