Search a number
-
+
34020772086 = 2374319112063
BaseRepresentation
bin11111101011110010…
…111100100011110110
310020210222002021202210
4133223302330203312
51024133304201321
623343503114250
72313031535310
oct375362744366
9106728067683
1034020772086
1113478925674
1267155a2986
1332923aa492
14190a4487b0
15d41b03b76
hex7ebcbc8f6

34020772086 has 64 divisors (see below), whose sum is σ = 78065565696. Its totient is φ = 9682327200.

The previous prime is 34020772081. The next prime is 34020772151. The reversal of 34020772086 is 68027702043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34020772081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16489891 + ... + 16491953.

It is an arithmetic number, because the mean of its divisors is an integer number (1219774464).

Almost surely, 234020772086 is an apocalyptic number.

34020772086 is an abundant number, since it is smaller than the sum of its proper divisors (44044793610).

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

34020772086 is a wasteful number, since it uses less digits than its factorization.

34020772086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417.

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 34020772086 in words is "thirty-four billion, twenty million, seven hundred seventy-two thousand, eighty-six".

Divisors: 1 2 3 6 7 14 21 42 431 862 911 1293 1822 2063 2586 2733 3017 4126 5466 6034 6189 6377 9051 12378 12754 14441 18102 19131 28882 38262 43323 86646 392641 785282 889153 1177923 1778306 1879393 2355846 2667459 2748487 3758786 5334918 5496974 5638179 6224071 8245461 11276358 12448142 13155751 16490922 18672213 26311502 37344426 39467253 78934506 810018383 1620036766 2430055149 4860110298 5670128681 11340257362 17010386043 34020772086