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3430011101430 = 235973301357073
BaseRepresentation
bin110001111010011100100…
…101111110000011110110
3110010220110101000120010010
4301322130211332003312
5422144130320221210
611143420401441050
7502544605211454
oct61723445760366
913126411016103
103430011101430
111102728934841
12474913940186
131bb5aa91c314
14bc028b939d4
155e350c0a920
hex31e9c97e0f6

3430011101430 has 64 divisors (see below), whose sum is σ = 8319435703488. Its totient is φ = 904963276800.

The previous prime is 3430011101411. The next prime is 3430011101507. The reversal of 3430011101430 is 341011100343.

It is a junction number, because it is equal to n+sod(n) for n = 3430011101397 and 3430011101406.

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, 9427374 + ... + 9784446.

It is an arithmetic number, because the mean of its divisors is an integer number (129991182867).

Almost surely, 23430011101430 is an apocalyptic number.

3430011101430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3430011101430 is an abundant number, since it is smaller than the sum of its proper divisors (4889424602058).

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

3430011101430 is a wasteful number, since it uses less digits than its factorization.

3430011101430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360481.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 3430011101430 its reverse (341011100343), we get a palindrome (3771022201773).

The spelling of 3430011101430 in words is "three trillion, four hundred thirty billion, eleven million, one hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 97 194 291 485 582 970 1455 2910 3301 6602 9903 16505 19806 33010 49515 99030 320197 357073 640394 714146 960591 1071219 1600985 1785365 1921182 2142438 3201970 3570730 4802955 5356095 9605910 10712190 34636081 69272162 103908243 173180405 207816486 346360810 519541215 1039082430 1178697973 2357395946 3536093919 5893489865 7072187838 11786979730 17680469595 35360939190 114333703381 228667406762 343001110143 571668516905 686002220286 1143337033810 1715005550715 3430011101430