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34381863933 = 3434094431471
BaseRepresentation
bin100000000001010100…
…011001101111111101
310021202010112122122220
4200001110121233331
51030403224121213
623443402355553
72325005010234
oct400124315775
9107663478586
1034381863933
111364373628a
1267b64bbbb9
13331c1481b1
1419423a1b1b
15d6367de23
hex801519bfd

34381863933 has 32 divisors (see below), whose sum is σ = 47161466880. Its totient is φ = 22267889280.

The previous prime is 34381863907. The next prime is 34381863941. The reversal of 34381863933 is 33936818343.

It is a de Polignac number, because none of the positive numbers 2k-34381863933 is a prime.

It is a super-2 number, since 2×343818639332 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381863433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23372388 + ... + 23373858.

It is an arithmetic number, because the mean of its divisors is an integer number (1473795840).

Almost surely, 234381863933 is an apocalyptic number.

It is an amenable number.

34381863933 is a deficient number, since it is larger than the sum of its proper divisors (12779602947).

34381863933 is a wasteful number, since it uses less digits than its factorization.

34381863933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369.

The product of its digits is 3359232, while the sum is 51.

The spelling of 34381863933 in words is "thirty-four billion, three hundred eighty-one million, eight hundred sixty-three thousand, nine hundred thirty-three".

Divisors: 1 3 43 129 409 443 1227 1329 1471 4413 17587 19049 52761 57147 63253 181187 189759 543561 601639 651653 1804917 1954959 7791041 23373123 25870477 28021079 77611431 84063237 266526077 799578231 11460621311 34381863933