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3411378304 = 27171567729
BaseRepresentation
bin1100101101010101…
…1000000010000000
322210202002222021121
43023111120002000
523441303101204
61322301402024
7150352144225
oct31325300200
98722088247
103411378304
1114a06a8014
127b2569314
134249aab59
142450cd94c
1514e753b54
hexcb558080

3411378304 has 32 divisors (see below), whose sum is σ = 7195880700. Its totient is φ = 1605353472.

The previous prime is 3411378209. The next prime is 3411378307. The reversal of 3411378304 is 4038731143.

It can be written as a sum of positive squares in 2 ways, for example, as 2544193600 + 867184704 = 50440^2 + 29448^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 3411378304.

It is not an unprimeable number, because it can be changed into a prime (3411378307) by changing a digit.

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, 781689 + ... + 786040.

Almost surely, 23411378304 is an apocalyptic number.

3411378304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3411378304 is an abundant number, since it is smaller than the sum of its proper divisors (3784502396).

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

3411378304 is a wasteful number, since it uses less digits than its factorization.

3411378304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567760 (or 1567748 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3411378304 is about 58407.0056072043. The cubic root of 3411378304 is about 1505.3701298973.

The spelling of 3411378304 in words is "three billion, four hundred eleven million, three hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 1567729 3135458 6270916 12541832 25083664 26651393 50167328 53302786 100334656 106605572 200669312 213211144 426422288 852844576 1705689152 3411378304