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34235131400 = 2352331587881
BaseRepresentation
bin11111111000100100…
…101010011000001000
310021100220102212110122
4133320210222120020
51030103143201100
623421041402412
72321243546501
oct377044523010
9107326385418
1034235131400
1113578925a28
126775339408
1332c7921602
14192aac7ba8
15d55847985
hex7f892a608

34235131400 has 96 divisors (see below), whose sum is σ = 80063938080. Its totient is φ = 13613952000.

The previous prime is 34235131391. The next prime is 34235131433. The reversal of 34235131400 is 413153243.

It is a self number, because there is not a number n which added to its sum of digits gives 34235131400.

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, 38858960 + ... + 38859840.

It is an arithmetic number, because the mean of its divisors is an integer number (833999355).

Almost surely, 234235131400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34235131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40031969040).

34235131400 is an abundant number, since it is smaller than the sum of its proper divisors (45828806680).

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

34235131400 is a wasteful number, since it uses less digits than its factorization.

34235131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 34235131400 its reverse (413153243), we get a palindrome (34648284643).

The spelling of 34235131400 in words is "thirty-four billion, two hundred thirty-five million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 331 587 662 881 1174 1324 1655 1762 2348 2648 2935 3310 3524 4405 4696 5870 6620 7048 8275 8810 11740 13240 14675 16550 17620 22025 23480 29350 33100 35240 44050 58700 66200 88100 117400 176200 194297 291611 388594 517147 583222 777188 971485 1034294 1166444 1458055 1554376 1942970 2068588 2332888 2585735 2916110 3885940 4137176 4857425 5171470 5832220 7290275 7771880 9714850 10342940 11664440 12928675 14580550 19429700 20685880 25857350 29161100 38859400 51714700 58322200 103429400 171175657 342351314 684702628 855878285 1369405256 1711756570 3423513140 4279391425 6847026280 8558782850 17117565700 34235131400