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3479049096 = 2334116992081
BaseRepresentation
bin1100111101011110…
…0001001110001000
322222110110000011020
43033113201032020
524111114032341
61333120032440
7152133300165
oct31727411610
98873400136
103479049096
111525918096
12811162720
13435a12443
142500a706c
1515566e566
hexcf5e1388

3479049096 has 64 divisors (see below), whose sum is σ = 8919288000. Its totient is φ = 1130188800.

The previous prime is 3479049089. The next prime is 3479049097. The reversal of 3479049096 is 6909409743.

3479049096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34790490962 = 24207565224756834432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3479049097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1670776 + ... + 1672856.

It is an arithmetic number, because the mean of its divisors is an integer number (139363875).

Almost surely, 23479049096 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 3479049096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459644000).

3479049096 is an abundant number, since it is smaller than the sum of its proper divisors (5440238904).

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

3479049096 is a wasteful number, since it uses less digits than its factorization.

3479049096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 3479049096 is about 58983.4645981397. The cubic root of 3479049096 is about 1515.2589312248.

The spelling of 3479049096 in words is "three billion, four hundred seventy-nine million, forty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1699 2081 3398 4162 5097 6243 6796 8324 10194 12486 13592 16648 20388 24972 40776 49944 69659 85321 139318 170642 208977 255963 278636 341284 417954 511926 557272 682568 835908 1023852 1671816 2047704 3535619 7071238 10606857 14142476 21213714 28284952 42427428 84854856 144960379 289920758 434881137 579841516 869762274 1159683032 1739524548 3479049096