Search a number
-
+
34241014004 = 22531672234337
BaseRepresentation
bin11111111000111011…
…000110100011110100
310021101022111201212212
4133320323012203310
51030111144422004
623421411432552
72321344550111
oct377073064364
9107338451785
1034241014004
111358118368a
1267772b5758
1332c8c01042
14192b7b9908
15d5610a96e
hex7f8ec68f4

34241014004 has 48 divisors (see below), whose sum is σ = 61707598848. Its totient is φ = 16618188288.

The previous prime is 34241013991. The next prime is 34241014021. The reversal of 34241014004 is 40041014243.

It is a happy number.

It is a super-2 number, since 2×342410140042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7892924 + ... + 7897260.

It is an arithmetic number, because the mean of its divisors is an integer number (1285574976).

Almost surely, 234241014004 is an apocalyptic number.

It is an amenable number.

34241014004 is a deficient number, since it is larger than the sum of its proper divisors (27466584844).

34241014004 is a wasteful number, since it uses less digits than its factorization.

34241014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 34241014004 its reverse (40041014243), we get a palindrome (74282028247).

The spelling of 34241014004 in words is "thirty-four billion, two hundred forty-one million, fourteen thousand, four".

Divisors: 1 2 4 53 106 167 212 223 334 446 668 892 4337 8674 8851 11819 17348 17702 23638 35404 37241 47276 74482 148964 229861 459722 724279 919444 967151 1448558 1934302 1973773 2897116 3868604 3947546 7895092 38386787 51259003 76773574 102518006 153547148 161514217 205036012 323028434 646056868 8560253501 17120507002 34241014004