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3454296064 = 2131922193
BaseRepresentation
bin1100110111100100…
…0110000000000000
322220201212102101021
43031321012000000
524033244433224
61330433315224
7151413014002
oct31571060000
98821772337
103454296064
11151295083a
12804a05b14
1343085678b
1424aaa2372
151533d01e4
hexcde46000

3454296064 has 56 divisors (see below), whose sum is σ = 7272086040. Its totient is φ = 1636171776.

The previous prime is 3454296029. The next prime is 3454296073. The reversal of 3454296064 is 4606924543.

It is a happy number.

It is a super-2 number, since 2×34542960642 = 23864322595531784192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3454296064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144552 + ... + 166744.

Almost surely, 23454296064 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 3454296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636043020).

3454296064 is an abundant number, since it is smaller than the sum of its proper divisors (3817789976).

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

3454296064 is an equidigital number, since it uses as much as digits as its factorization.

3454296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22238 (or 22214 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The square root of 3454296064 is about 58773.2597700689. The cubic root of 3454296064 is about 1511.6567439303.

The spelling of 3454296064 in words is "three billion, four hundred fifty-four million, two hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 4096 4864 8192 9728 19456 22193 38912 44386 77824 88772 155648 177544 355088 421667 710176 843334 1420352 1686668 2840704 3373336 5681408 6746672 11362816 13493344 22725632 26986688 45451264 53973376 90902528 107946752 181805056 215893504 431787008 863574016 1727148032 3454296064