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34313011350 = 2352713798501
BaseRepresentation
bin11111111101001101…
…110000000010010110
310021120022222120200020
4133331031300002112
51030233112330400
623432502530010
72323210532652
oct377515600226
9107508876606
1034313011350
1113608889322
126797436906
13330aabba17
14193719ba62
15d5c5cd2a0
hex7fd370096

34313011350 has 96 divisors (see below), whose sum is σ = 86532675840. Its totient is φ = 8996400000.

The previous prime is 34313011309. The next prime is 34313011367. The reversal of 34313011350 is 5311031343.

It is a self number, because there is not a number n which added to its sum of digits gives 34313011350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4032100 + ... + 4040600.

It is an arithmetic number, because the mean of its divisors is an integer number (901382040).

Almost surely, 234313011350 is an apocalyptic number.

34313011350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34313011350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43266337920).

34313011350 is an abundant number, since it is smaller than the sum of its proper divisors (52219664490).

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

34313011350 is a wasteful number, since it uses less digits than its factorization.

34313011350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8966 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 34313011350 its reverse (5311031343), we get a palindrome (39624042693).

The spelling of 34313011350 in words is "thirty-four billion, three hundred thirteen million, eleven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 213 355 379 426 710 758 1065 1137 1775 1895 2130 2274 3550 3790 5325 5685 8501 9475 10650 11370 17002 18950 25503 26909 28425 42505 51006 53818 56850 80727 85010 127515 134545 161454 212525 255030 269090 403635 425050 603571 637575 672725 807270 1207142 1275150 1345450 1810713 2018175 3017855 3221879 3621426 4036350 6035710 6443758 9053565 9665637 15089275 16109395 18107130 19331274 30178550 32218790 45267825 48328185 80546975 90535650 96656370 161093950 228753409 241640925 457506818 483281850 686260227 1143767045 1372520454 2287534090 3431301135 5718835225 6862602270 11437670450 17156505675 34313011350