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3411344704 = 26293075987
BaseRepresentation
bin1100101101010100…
…1111110101000000
322210202001021012011
43023111033311000
523441301012304
61322300542304
7150351644245
oct31325176500
98722037164
103411344704
1114a0684849
127b2551994
13424998781
142450c15cc
1514e748c04
hexcb54fd40

3411344704 has 56 divisors (see below), whose sum is σ = 7026798240. Its totient is φ = 1641217536.

The previous prime is 3411344701. The next prime is 3411344723. The reversal of 3411344704 is 4074431143.

It is a happy number.

3411344704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411344701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566799 + ... + 572785.

It is an arithmetic number, because the mean of its divisors is an integer number (125478540).

Almost surely, 23411344704 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 3411344704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513399120).

3411344704 is an abundant number, since it is smaller than the sum of its proper divisors (3615453536).

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

3411344704 is a wasteful number, since it uses less digits than its factorization.

3411344704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 3411344704 is about 58406.7179697678. The cubic root of 3411344704 is about 1505.3651875545.

Adding to 3411344704 its reverse (4074431143), we get a palindrome (7485775847).

The spelling of 3411344704 in words is "three billion, four hundred eleven million, three hundred forty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 307 464 614 928 1228 1856 2456 4912 5987 8903 9824 11974 17806 19648 23948 35612 47896 71224 95792 142448 173623 191584 284896 347246 383168 569792 694492 1388984 1838009 2777968 3676018 5555936 7352036 11111872 14704072 29408144 53302261 58816288 106604522 117632576 213209044 426418088 852836176 1705672352 3411344704