Search a number
-
+
34414631224 = 2317278990731
BaseRepresentation
bin100000000011010001…
…011001100100111000
310021211102012101221021
4200003101121210320
51030440121144344
623450532552224
72325553352551
oct400321314470
9107742171837
1034414631224
1113660186896
126805482674
133325b7b91c
141946891328
15d664a2b84
hex803459938

34414631224 has 32 divisors (see below), whose sum is σ = 68348415600. Its totient is φ = 16189135360.

The previous prime is 34414631159. The next prime is 34414631227. The reversal of 34414631224 is 42213641443.

It is a super-3 number, since 3×344146312243 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 34414631224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34414631227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333939 + ... + 424669.

Almost surely, 234414631224 is an apocalyptic number.

34414631224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34414631224 is a deficient number, since it is larger than the sum of its proper divisors (33933784376).

34414631224 is a wasteful number, since it uses less digits than its factorization.

34414631224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93543 (or 93539 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

The spelling of 34414631224 in words is "thirty-four billion, four hundred fourteen million, six hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 17 34 68 136 2789 5578 11156 22312 47413 90731 94826 181462 189652 362924 379304 725848 1542427 3084854 6169708 12339416 253048759 506097518 1012195036 2024390072 4301828903 8603657806 17207315612 34414631224