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3412002024 = 233247388917
BaseRepresentation
bin1100101101011111…
…0000010011101000
322210210021122212100
43023113300103220
523441433031044
61322323013400
7150360352524
oct31327602350
98723248770
103412002024
1114a0a93692
127b280a260
13424b68a12
14245212d84
1514e828869
hexcb5f04e8

3412002024 has 24 divisors (see below), whose sum is σ = 9240839010. Its totient is φ = 1137333984.

The previous prime is 3412002023. The next prime is 3412002043. The reversal of 3412002024 is 4202002143.

3412002024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2495002500 + 916999524 = 49950^2 + 30282^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3412001988 and 3412002006.

It is not an unprimeable number, because it can be changed into a prime (3412002023) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23694387 + ... + 23694530.

Almost surely, 23412002024 is an apocalyptic number.

It is an amenable number.

3412002024 is an abundant number, since it is smaller than the sum of its proper divisors (5828836986).

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

3412002024 is a wasteful number, since it uses less digits than its factorization.

3412002024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47388929 (or 47388922 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3412002024 is about 58412.3447911484. The cubic root of 3412002024 is about 1505.4618691843.

Adding to 3412002024 its reverse (4202002143), we get a palindrome (7614004167).

The spelling of 3412002024 in words is "three billion, four hundred twelve million, two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 47388917 94777834 142166751 189555668 284333502 379111336 426500253 568667004 853000506 1137334008 1706001012 3412002024