Search a number
-
+
34124422220334 = 234397695296703
BaseRepresentation
bin1111100001001001101100…
…00100001000101000101110
311110211021002122202010210000
413300210312010020220232
513433043304042022314
6200324313153125130
710121256665000355
oct760446604105056
9143737078663700
1034124422220334
11a9670a47a3396
1239b165bb597a6
131606bc4664c64
1485d8b909299c
153e29c40b2209
hex1f0936108a2e

34124422220334 has 40 divisors (see below), whose sum is σ = 76465920263040. Its totient is φ = 11374519237344.

The previous prime is 34124422220323. The next prime is 34124422220359. The reversal of 34124422220334 is 43302222442143.

34124422220334 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 4 + 422 + 220 + 3 + 3 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3794227 + ... + 9090929.

It is an arithmetic number, because the mean of its divisors is an integer number (1911648006576).

Almost surely, 234124422220334 is an apocalyptic number.

34124422220334 is an abundant number, since it is smaller than the sum of its proper divisors (42341498042706).

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

34124422220334 is a wasteful number, since it uses less digits than its factorization.

34124422220334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336486 (or 5336477 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34124422220334 its reverse (43302222442143), we get a palindrome (77426644662477).

The spelling of 34124422220334 in words is "thirty-four trillion, one hundred twenty-four billion, four hundred twenty-two million, two hundred twenty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 39769 79538 119307 238614 357921 715842 1073763 2147526 3221289 5296703 6442578 10593406 15890109 31780218 47670327 95340654 143010981 286021962 429032943 858065886 210644581607 421289163214 631933744821 1263867489642 1895801234463 3791602468926 5687403703389 11374807406778 17062211110167 34124422220334