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34230035020200 = 2335257050058367
BaseRepresentation
bin1111100100001110011010…
…00100111111100110101000
311111012100200222212020222020
413302013031010333212220
513441311102431121300
6200445021102024440
710132016114663025
oct762071504774650
9144170628766866
1034230035020200
11a9a7970437068
123a0a015578120
131613b55c60c46
14864a5773054c
153e5605e4d8a0
hex1f21cd13f9a8

34230035020200 has 48 divisors (see below), whose sum is σ = 106113108564480. Its totient is φ = 9128009338560.

The previous prime is 34230035020189. The next prime is 34230035020211. The reversal of 34230035020200 is 202053003243.

It is an interprime number because it is at equal distance from previous prime (34230035020189) and next prime (34230035020211).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28525028584 + ... + 28525029783.

It is an arithmetic number, because the mean of its divisors is an integer number (2210689761760).

Almost surely, 234230035020200 is an apocalyptic number.

34230035020200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34230035020200 is an abundant number, since it is smaller than the sum of its proper divisors (71883073544280).

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

34230035020200 is a wasteful number, since it uses less digits than its factorization.

34230035020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57050058386 (or 57050058377 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 34230035020200 its reverse (202053003243), we get a palindrome (34432088023443).

The spelling of 34230035020200 in words is "thirty-four trillion, two hundred thirty billion, thirty-five million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 57050058367 114100116734 171150175101 228200233468 285250291835 342300350202 456400466936 570500583670 684600700404 855750875505 1141001167340 1369201400808 1426251459175 1711501751010 2282002334680 2852502918350 3423003502020 4278754377525 5705005836700 6846007004040 8557508755050 11410011673400 17115017510100 34230035020200