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3430564002 = 23437572333
BaseRepresentation
bin1100110001111010…
…0100000010100010
322212002012201010000
43030132210002202
524011211022002
61324224520430
7151004212215
oct31436440242
98762181100
103430564002
111500511568
127b8a80116
13428967738
1424788577c
1515129361c
hexcc7a40a2

3430564002 has 40 divisors (see below), whose sum is σ = 7894775196. Its totient is φ = 1112613408.

The previous prime is 3430564001. The next prime is 3430564009. The reversal of 3430564002 is 2004650343.

It can be written as a sum of positive squares in 2 ways, for example, as 3402272241 + 28291761 = 58329^2 + 5319^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3430564001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 280173 + ... + 292160.

Almost surely, 23430564002 is an apocalyptic number.

3430564002 is an abundant number, since it is smaller than the sum of its proper divisors (4464211194).

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

3430564002 is a wasteful number, since it uses less digits than its factorization.

3430564002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572384 (or 572375 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3430564002 is about 58571.0167403640. The cubic root of 3430564002 is about 1508.1869387284.

The spelling of 3430564002 in words is "three billion, four hundred thirty million, five hundred sixty-four thousand, two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 572333 1144666 1716999 3433998 5150997 10301994 15452991 21176321 30905982 42352642 46358973 63528963 92717946 127057926 190586889 381173778 571760667 1143521334 1715282001 3430564002