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3480436764 = 2232714992693
BaseRepresentation
bin1100111101110011…
…0100000000011100
322222120001111200100
43033130310000130
524111442434024
61333205501100
7152151136650
oct31734640034
98876044610
103480436764
111526685722
12811711790
134360a9c4c
14250348a60
151558457c9
hexcf73401c

3480436764 has 72 divisors (see below), whose sum is σ = 10122184800. Its totient is φ = 987725952.

The previous prime is 3480436763. The next prime is 3480436781. The reversal of 3480436764 is 4676340843.

It is a super-2 number, since 2×34804367642 = 24226880136405583392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480436763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8799 + ... + 83894.

It is an arithmetic number, because the mean of its divisors is an integer number (140585900).

Almost surely, 23480436764 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 3480436764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061092400).

3480436764 is an abundant number, since it is smaller than the sum of its proper divisors (6641748036).

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

3480436764 is a wasteful number, since it uses less digits than its factorization.

3480436764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92859 (or 92854 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 3480436764 is about 58995.2266204648. The cubic root of 3480436764 is about 1515.4603652732.

The spelling of 3480436764 in words is "three billion, four hundred eighty million, four hundred thirty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 447 596 894 1043 1341 1788 2086 2682 3129 4172 5364 6258 9387 12516 18774 37548 92693 185386 278079 370772 556158 648851 834237 1112316 1297702 1668474 1946553 2595404 3336948 3893106 5839659 7786212 11679318 13811257 23358636 27622514 41433771 55245028 82867542 96678799 124301313 165735084 193357598 248602626 290036397 386715196 497205252 580072794 870109191 1160145588 1740218382 3480436764