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3413559296 = 2117317681
BaseRepresentation
bin1100101101110110…
…1100100000000000
322210220012210001002
43023131230200000
523442332344141
61322420231132
7150406526630
oct31335544000
98726183032
103413559296
1114a1957694
127b323b4a8
13425292794
142454da6c0
1514ea34e9b
hexcb76c800

3413559296 has 96 divisors (see below), whose sum is σ = 8053194240. Its totient is φ = 1415577600.

The previous prime is 3413559271. The next prime is 3413559313. The reversal of 3413559296 is 6929553143.

It is a self number, because there is not a number n which added to its sum of digits gives 3413559296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440576 + ... + 448256.

It is an arithmetic number, because the mean of its divisors is an integer number (83887440).

Almost surely, 23413559296 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 3413559296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026597120).

3413559296 is an abundant number, since it is smaller than the sum of its proper divisors (4639634944).

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

3413559296 is an equidigital number, since it uses as much as digits as its factorization.

3413559296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741 (or 7721 counting only the distinct ones).

The product of its digits is 874800, while the sum is 47.

The square root of 3413559296 is about 58425.6732609903. The cubic root of 3413559296 is about 1505.6908703219.

The spelling of 3413559296 in words is "three billion, four hundred thirteen million, five hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 2048 3472 3584 3968 6944 7168 7681 7936 13888 14336 15362 15872 27776 30724 31744 53767 55552 61448 63488 107534 111104 122896 215068 222208 238111 245792 430136 444416 476222 491584 860272 952444 983168 1666777 1720544 1904888 1966336 3333554 3441088 3809776 3932672 6667108 6882176 7619552 7865344 13334216 13764352 15239104 15730688 26668432 27528704 30478208 53336864 55057408 60956416 106673728 110114816 121912832 213347456 243825664 426694912 487651328 853389824 1706779648 3413559296