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34308415344 = 2437691147769
BaseRepresentation
bin11111111100111100…
…001101111101110000
310021120000100002010210
4133330330031331300
51030230423242334
623432220224120
72323123501350
oct377474157560
9107500302123
1034308415344
111360622a275
12679599b040
133309b6caa8
141936722b60
15d5bec15e9
hex7fcf0df70

34308415344 has 80 divisors (see below), whose sum is σ = 101438785280. Its totient is φ = 9788152320.

The previous prime is 34308415261. The next prime is 34308415363. The reversal of 34308415344 is 44351480343.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 158292 + ... + 306060.

It is an arithmetic number, because the mean of its divisors is an integer number (1267984816).

Almost surely, 234308415344 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 34308415344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50719392640).

34308415344 is an abundant number, since it is smaller than the sum of its proper divisors (67130369936).

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

34308415344 is a wasteful number, since it uses less digits than its factorization.

34308415344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148478 (or 148472 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 34308415344 its reverse (44351480343), we get a palindrome (78659895687).

The spelling of 34308415344 in words is "thirty-four billion, three hundred eight million, four hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 691 1382 2073 2764 4146 4837 5528 8292 9674 11056 14511 16584 19348 29022 33168 38696 58044 77392 116088 147769 232176 295538 443307 591076 886614 1034383 1182152 1773228 2068766 2364304 3103149 3546456 4137532 6206298 7092912 8275064 12412596 16550128 24825192 49650384 102108379 204216758 306325137 408433516 612650274 714758653 816867032 1225300548 1429517306 1633734064 2144275959 2450601096 2859034612 4288551918 4901202192 5718069224 8577103836 11436138448 17154207672 34308415344