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3434700045 = 35759554431
BaseRepresentation
bin1100110010111001…
…0101110100001101
322212100222211200210
43030232111310031
524013240400140
61324453313033
7151054316520
oct31456256415
98770884623
103434700045
111502886a87
127ba335779
134297851ba
14248240bb7
1515180dd80
hexccb95d0d

3434700045 has 32 divisors (see below), whose sum is σ = 6387056640. Its totient is φ = 1543533120.

The previous prime is 3434700041. The next prime is 3434700067. The reversal of 3434700045 is 5400074343.

It is not a de Polignac number, because 3434700045 - 22 = 3434700041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3434699985 and 3434700021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434700041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271021 + ... + 283410.

It is an arithmetic number, because the mean of its divisors is an integer number (199595520).

Almost surely, 23434700045 is an apocalyptic number.

3434700045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3434700045 is a deficient number, since it is larger than the sum of its proper divisors (2952356595).

3434700045 is a wasteful number, since it uses less digits than its factorization.

3434700045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554505.

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 3434700045 is about 58606.3140369705. The cubic root of 3434700045 is about 1508.7928080836.

Adding to 3434700045 its reverse (5400074343), we get a palindrome (8834774388).

The spelling of 3434700045 in words is "three billion, four hundred thirty-four million, seven hundred thousand, forty-five".

Divisors: 1 3 5 7 15 21 35 59 105 177 295 413 885 1239 2065 6195 554431 1663293 2772155 3881017 8316465 11643051 19405085 32711429 58215255 98134287 163557145 228980003 490671435 686940009 1144900015 3434700045