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34200020430 = 23252316521749
BaseRepresentation
bin11111110110011110…
…101110010111001110
310021021110101001021100
4133312132232113032
51030020201123210
623413345043530
72320336243242
oct376636562716
9107243331240
1034200020430
11135600245a4
1267656265a6
1332c057a1a4
141926188422
15d5270e5c0
hex7f67ae5ce

34200020430 has 48 divisors (see below), whose sum is σ = 92786148000. Its totient is φ = 8723482944.

The previous prime is 34200020411. The next prime is 34200020461. The reversal of 34200020430 is 3402000243.

34200020430 is a `hidden beast` number, since 34 + 200 + 0 + 2 + 0 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 8258805 + ... + 8262944.

It is an arithmetic number, because the mean of its divisors is an integer number (1933044750).

Almost surely, 234200020430 is an apocalyptic number.

34200020430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34200020430 is an abundant number, since it is smaller than the sum of its proper divisors (58586127570).

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

34200020430 is a wasteful number, since it uses less digits than its factorization.

34200020430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16521785 (or 16521782 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 34200020430 its reverse (3402000243), we get a palindrome (37602020673).

The spelling of 34200020430 in words is "thirty-four billion, two hundred million, twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 16521749 33043498 49565247 82608745 99130494 148695741 165217490 247826235 297391482 380000227 495652470 743478705 760000454 1140000681 1486957410 1900001135 2280001362 3420002043 3800002270 5700003405 6840004086 11400006810 17100010215 34200020430