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3406778816 = 2678299173
BaseRepresentation
bin1100101100001111…
…0101000111000000
322210102110021222012
43023003311013000
523434113410231
61322015032052
7150265066520
oct31303650700
98712407865
103406778816
111499046391
127b0b0b628
13423a5a46c
14244653680
1514e145e2b
hexcb0f51c0

3406778816 has 56 divisors (see below), whose sum is σ = 7736250720. Its totient is φ = 1458127872.

The previous prime is 3406778789. The next prime is 3406778827. The reversal of 3406778816 is 6188776043.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×34067788162 = 23212283802292723712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 366806 + ... + 375978.

Almost surely, 23406778816 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 3406778816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868125360).

3406778816 is an abundant number, since it is smaller than the sum of its proper divisors (4329471904).

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

3406778816 is an equidigital number, since it uses as much as digits as its factorization.

3406778816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10021 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The square root of 3406778816 is about 58367.6178715561. The cubic root of 3406778816 is about 1504.6932728853.

The spelling of 3406778816 in words is "three billion, four hundred six million, seven hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 829 1658 3316 5803 6632 9173 11606 13264 18346 23212 26528 36692 46424 53056 64211 73384 92848 128422 146768 185696 256844 293536 371392 513688 587072 1027376 2054752 4109504 7604417 15208834 30417668 53230919 60835336 106461838 121670672 212923676 243341344 425847352 486682688 851694704 1703389408 3406778816