Search a number
-
+
34770107435 = 5734914591951
BaseRepresentation
bin100000011000011101…
…011011110000101011
310022202012002110121212
4200120131123300223
51032202121414220
623550112023335
72340431015420
oct403035336053
9108665073555
1034770107435
1113822901388
1268a4531b4b
13338170158b
14197bb85d47
15d877be0c5
hex81875bc2b

34770107435 has 32 divisors (see below), whose sum is σ = 47878656000. Its totient is φ = 23745571200.

The previous prime is 34770107417. The next prime is 34770107461. The reversal of 34770107435 is 53470107743.

It is not a de Polignac number, because 34770107435 - 212 = 34770103339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34770107392 and 34770107401.

It is an unprimeable number.

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, 17820710 + ... + 17822660.

It is an arithmetic number, because the mean of its divisors is an integer number (1496208000).

Almost surely, 234770107435 is an apocalyptic number.

34770107435 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34770107435 is a deficient number, since it is larger than the sum of its proper divisors (13108548565).

34770107435 is a wasteful number, since it uses less digits than its factorization.

34770107435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771.

The product of its (nonzero) digits is 246960, while the sum is 41.

The spelling of 34770107435 in words is "thirty-four billion, seven hundred seventy million, one hundred seven thousand, four hundred thirty-five".

Divisors: 1 5 7 35 349 1459 1745 1951 2443 7295 9755 10213 12215 13657 51065 68285 509191 680899 2545955 2846509 3404495 3564337 4766293 14232545 17821685 19925563 23831465 99627815 993431641 4967158205 6954021487 34770107435