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34012645050 = 2352347653461
BaseRepresentation
bin11111101011010011…
…111100011010111010
310020210101210101120110
4133223103330122322
51024124214120200
623343013005150
72312602466316
oct375323743272
9106711711513
1034012645050
111347428470a
1267129237b6
1332907c3297
141909330b46
15d4104ab50
hex7eb4fc6ba

34012645050 has 48 divisors (see below), whose sum is σ = 84594576672. Its totient is φ = 9043886400.

The previous prime is 34012645013. The next prime is 34012645061. The reversal of 34012645050 is 5054621043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34012644999 and 34012645017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274681 + ... + 378780.

It is an arithmetic number, because the mean of its divisors is an integer number (1762387014).

Almost surely, 234012645050 is an apocalyptic number.

34012645050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34012645050 is an abundant number, since it is smaller than the sum of its proper divisors (50581931622).

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

34012645050 is a wasteful number, since it uses less digits than its factorization.

34012645050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653823 (or 653818 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 3401 and 2645050, that added together give a triangular number (2648451 = T2301).

The spelling of 34012645050 in words is "thirty-four billion, twelve million, six hundred forty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 347 694 1041 1735 2082 3470 5205 8675 10410 17350 26025 52050 653461 1306922 1960383 3267305 3920766 6534610 9801915 16336525 19603830 32673050 49009575 98019150 226750967 453501934 680252901 1133754835 1360505802 2267509670 3401264505 5668774175 6802529010 11337548350 17006322525 34012645050