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34234000215 = 3519414216959
BaseRepresentation
bin11111111000100000…
…010110001101010111
310021100211022101202220
4133320200112031113
51030102401001330
623421001233423
72321231125542
oct377040261527
9107324271686
1034234000215
1113578223068
126774a92873
1332c761677c
14192a8b1859
15d556c2710
hex7f8816357

34234000215 has 64 divisors (see below), whose sum is σ = 59212339200. Its totient is φ = 16832793600.

The previous prime is 34234000187. The next prime is 34234000219. The reversal of 34234000215 is 51200043243.

It is not a de Polignac number, because 34234000215 - 28 = 34233999959 is a prime.

It is a super-3 number, since 3×342340002153 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34234000219) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4915906 + ... + 4922864.

It is an arithmetic number, because the mean of its divisors is an integer number (925192800).

Almost surely, 234234000215 is an apocalyptic number.

34234000215 is a deficient number, since it is larger than the sum of its proper divisors (24978338985).

34234000215 is a wasteful number, since it uses less digits than its factorization.

34234000215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34234000215 its reverse (51200043243), we get a palindrome (85434043458).

The spelling of 34234000215 in words is "thirty-four billion, two hundred thirty-four million, two hundred fifteen", and thus it is an aban number.

Divisors: 1 3 5 15 19 41 57 95 123 205 285 421 615 779 1263 2105 2337 3895 6315 6959 7999 11685 17261 20877 23997 34795 39995 51783 86305 104385 119985 132221 258915 285319 327959 396663 661105 855957 983877 1426595 1639795 1983315 2929739 4279785 4919385 5421061 8789217 14648695 16263183 27105305 43946085 55665041 81315915 120119299 166995123 278325205 360357897 600596495 834975615 1801789485 2282266681 6846800043 11411333405 34234000215