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3480371424 = 253212084623
BaseRepresentation
bin1100111101110010…
…0100000011100000
322222112221012001100
43033130210003200
524111433341144
61333204234400
7152150445315
oct31734440340
98875835040
103480371424
111526640622
1281169ba00
1343608629a
1425032cd0c
15155831269
hexcf7240e0

3480371424 has 36 divisors (see below), whose sum is σ = 9897307056. Its totient is φ = 1160123712.

The previous prime is 3480371407. The next prime is 3480371437. The reversal of 3480371424 is 4241730843.

3480371424 is a `hidden beast` number, since 3 + 480 + 37 + 142 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×34803714242 = 24225970497991575552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6042024 + ... + 6042599.

It is an arithmetic number, because the mean of its divisors is an integer number (274925196).

Almost surely, 23480371424 is an apocalyptic number.

It is an amenable number.

3480371424 is an abundant number, since it is smaller than the sum of its proper divisors (6416935632).

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

3480371424 is a wasteful number, since it uses less digits than its factorization.

3480371424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12084639 (or 12084628 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3480371424 is about 58994.6728442493. The cubic root of 3480371424 is about 1515.4508817125.

The spelling of 3480371424 in words is "three billion, four hundred eighty million, three hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 12084623 24169246 36253869 48338492 72507738 96676984 108761607 145015476 193353968 217523214 290030952 386707936 435046428 580061904 870092856 1160123808 1740185712 3480371424