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3494824416 = 253212134807
BaseRepresentation
bin1101000001001110…
…1100100111100000
3100000120010110211100
43100103230213200
524124133340131
61334442114400
7152414342316
oct32023544740
910016113740
103494824416
111533812346
128164aba00
13439076955
142522120b6
15156c387e6
hexd04ec9e0

3494824416 has 36 divisors (see below), whose sum is σ = 9938407752. Its totient is φ = 1164941376.

The previous prime is 3494824397. The next prime is 3494824457. The reversal of 3494824416 is 6144284943.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6067116 + ... + 6067691.

It is an arithmetic number, because the mean of its divisors is an integer number (276066882).

Almost surely, 23494824416 is an apocalyptic number.

3494824416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3494824416 is an abundant number, since it is smaller than the sum of its proper divisors (6443583336).

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

3494824416 is a wasteful number, since it uses less digits than its factorization.

3494824416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12134823 (or 12134812 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3494824416 is about 59117.0399800261. The cubic root of 3494824416 is about 1517.5457300167.

The spelling of 3494824416 in words is "three billion, four hundred ninety-four million, eight hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12134807 24269614 36404421 48539228 72808842 97078456 109213263 145617684 194156912 218426526 291235368 388313824 436853052 582470736 873706104 1164941472 1747412208 3494824416