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34700296106 = 27197312714071
BaseRepresentation
bin100000010100010011…
…000111111110101010
310022120022201200111002
4200110103013332222
51032031233433411
623535135435002
72335622436020
oct402423077652
9108508650432
1034700296106
111379745a073
126885085a62
1333700ca8b8
1419727b2710
15d815ce33b
hex8144c7faa

34700296106 has 64 divisors (see below), whose sum is σ = 63979192320. Its totient is φ = 13785448320.

The previous prime is 34700296073. The next prime is 34700296109. The reversal of 34700296106 is 60169200743.

It is a super-2 number, since 2×347002961062 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 34700296106.

It is not an unprimeable number, because it can be changed into a prime (34700296109) 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, 2459051 + ... + 2473121.

It is an arithmetic number, because the mean of its divisors is an integer number (999674880).

Almost surely, 234700296106 is an apocalyptic number.

34700296106 is a deficient number, since it is larger than the sum of its proper divisors (29278896214).

34700296106 is a wasteful number, since it uses less digits than its factorization.

34700296106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14299.

The product of its (nonzero) digits is 54432, while the sum is 38.

Adding to 34700296106 its reverse (60169200743), we get a palindrome (94869496849).

The spelling of 34700296106 in words is "thirty-four billion, seven hundred million, two hundred ninety-six thousand, one hundred six".

Divisors: 1 2 7 14 19 38 73 127 133 146 254 266 511 889 1022 1387 1778 2413 2774 4826 9271 9709 14071 16891 18542 19418 28142 33782 64897 98497 129794 176149 196994 267349 352298 534698 1027183 1233043 1787017 1871443 2054366 2466086 3574034 3742886 7190281 12509119 14380562 19516477 25018238 33953323 39032954 67906646 130452241 136615339 237673261 260904482 273230678 475346522 913165687 1826331374 2478592579 4957185158 17350148053 34700296106