Search a number
-
+
3406347776 = 2913239367
BaseRepresentation
bin1100101100001000…
…1011111000000000
322210101122101200202
43023002023320000
523434011112101
61322001504332
7150261323036
oct31302137000
98711571622
103406347776
111498881557
127b09420a8
13423939200
14244580556
1514e0ad36b
hexcb08be00

3406347776 has 60 divisors (see below), whose sum is σ = 7370043912. Its totient is φ = 1572120576.

The previous prime is 3406347767. The next prime is 3406347793. The reversal of 3406347776 is 6777436043.

It is a self number, because there is not a number n which added to its sum of digits gives 3406347776.

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, 66845 + ... + 106211.

Almost surely, 23406347776 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 3406347776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685021956).

3406347776 is an abundant number, since it is smaller than the sum of its proper divisors (3963696136).

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

3406347776 is an equidigital number, since it uses as much as digits as its factorization.

3406347776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39411 (or 39382 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 47.

The square root of 3406347776 is about 58363.9252963678. The cubic root of 3406347776 is about 1504.6298101659.

The spelling of 3406347776 in words is "three billion, four hundred six million, three hundred forty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1352 1664 2704 3328 5408 6656 10816 21632 39367 43264 78734 86528 157468 314936 511771 629872 1023542 1259744 2047084 2519488 4094168 5038976 6653023 8188336 10077952 13306046 16376672 20155904 26612092 32753344 53224184 65506688 106448368 131013376 212896736 262026752 425793472 851586944 1703173888 3406347776