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10343411430 = 2351176940759
BaseRepresentation
bin10011010001000001…
…11110111011100110
3222200211221202001020
421220200332323212
5132140403131210
64430211112010
7514214355312
oct115040767346
928624852036
1010343411430
11442864a110
122007ba2606
13c8aba77c1
147019d6b42
154080e4770
hex26883eee6

10343411430 has 64 divisors (see below), whose sum is σ = 27116812800. Its totient is φ = 2504171520.

The previous prime is 10343411413. The next prime is 10343411467. The reversal of 10343411430 is 3411434301.

It is a self number, because there is not a number n which added to its sum of digits gives 10343411430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233391 + ... + 274149.

It is an arithmetic number, because the mean of its divisors is an integer number (423700200).

Almost surely, 210343411430 is an apocalyptic number.

10343411430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343411430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13558406400).

10343411430 is an abundant number, since it is smaller than the sum of its proper divisors (16773401370).

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

10343411430 is a wasteful number, since it uses less digits than its factorization.

10343411430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41549.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10343411430 its reverse (3411434301), we get a palindrome (13754845731).

The spelling of 10343411430 in words is "ten billion, three hundred forty-three million, four hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 769 1538 2307 3845 4614 7690 8459 11535 16918 23070 25377 40759 42295 50754 81518 84590 122277 126885 203795 244554 253770 407590 448349 611385 896698 1222770 1345047 2241745 2690094 4483490 6725235 13450470 31343671 62687342 94031013 156718355 188062026 313436710 344780381 470155065 689560762 940310130 1034341143 1723901905 2068682286 3447803810 5171705715 10343411430