Search a number
-
+
34457801339 = 1341832393259
BaseRepresentation
bin100000000101110110…
…000101001001111011
310021221102102200012102
4200011312011021323
51031032144120324
623455114134015
72326616323133
oct400566051173
9107842380172
1034457801339
1113682592175
126817a2130b
133331ab5380
14194c4cbac3
15d6a17ddae
hex805d8527b

34457801339 has 32 divisors (see below), whose sum is σ = 38644300800. Its totient is φ = 30519901440.

The previous prime is 34457801317. The next prime is 34457801341. The reversal of 34457801339 is 93310875443.

It is not a de Polignac number, because 34457801339 - 212 = 34457797243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34457801293 and 34457801302.

It is not an unprimeable number, because it can be changed into a prime (34457800339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10571492 + ... + 10574750.

It is an arithmetic number, because the mean of its divisors is an integer number (1207634400).

Almost surely, 234457801339 is an apocalyptic number.

34457801339 is a deficient number, since it is larger than the sum of its proper divisors (4186499461).

34457801339 is a wasteful number, since it uses less digits than its factorization.

34457801339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 34457801339 in words is "thirty-four billion, four hundred fifty-seven million, eight hundred one thousand, three hundred thirty-nine".

Divisors: 1 13 41 83 239 533 1079 3107 3259 3403 9799 19837 42367 44239 127387 133619 257881 270497 778901 813317 1737047 3516461 10125713 10573121 11090377 31934941 64648783 144174901 415154233 840434179 2650600103 34457801339