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3474073664 = 26417916759
BaseRepresentation
bin1100111100010010…
…0010100001000000
322222010002020010222
43033010202201000
524103330324124
61332421242212
7152043065435
oct31704424100
98863066128
103474073664
111523029a66
1280b563368
1343498c8b9
1424d56db8c
15154eda25e
hexcf122840

3474073664 has 56 divisors (see below), whose sum is σ = 7151827200. Its totient is φ = 1673118720.

The previous prime is 3474073661. The next prime is 3474073699. The reversal of 3474073664 is 4663704743.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3474073661) 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 7 ways as a sum of consecutive naturals, for example, 198917 + ... + 215675.

It is an arithmetic number, because the mean of its divisors is an integer number (127711200).

Almost surely, 23474073664 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 3474073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575913600).

3474073664 is an abundant number, since it is smaller than the sum of its proper divisors (3677753536).

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

3474073664 is a wasteful number, since it uses less digits than its factorization.

3474073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16891 (or 16881 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 44.

The square root of 3474073664 is about 58941.2730096662. The cubic root of 3474073664 is about 1514.5362563090.

The spelling of 3474073664 in words is "three billion, four hundred seventy-four million, seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 79 82 158 164 316 328 632 656 1264 1312 2528 2624 3239 5056 6478 12956 16759 25912 33518 51824 67036 103648 134072 207296 268144 536288 687119 1072576 1323961 1374238 2647922 2748476 5295844 5496952 10591688 10993904 21183376 21987808 42366752 43975616 54282401 84733504 108564802 217129604 434259208 868518416 1737036832 3474073664