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34002133335 = 32519216312841
BaseRepresentation
bin11111101010101011…
…110110000101010111
310020202200000100012200
4133222223312011113
51024114021231320
623341555415543
72312414236032
oct375253660527
9106680010180
1034002133335
1113469355045
12670b2b45b3
13328b582831
141907b96019
15d40171290
hex7eaaf6157

34002133335 has 72 divisors (see below), whose sum is σ = 62588723184. Its totient is φ = 17073296640.

The previous prime is 34002133307. The next prime is 34002133337. The reversal of 34002133335 is 53333120043.

It is a happy number.

It is not a de Polignac number, because 34002133335 - 211 = 34002131287 is a prime.

It is a super-2 number, since 2×340021333352 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34002133299 and 34002133308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002133337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2641515 + ... + 2654355.

It is an arithmetic number, because the mean of its divisors is an integer number (869287822).

Almost surely, 234002133335 is an apocalyptic number.

34002133335 is a deficient number, since it is larger than the sum of its proper divisors (28586589849).

34002133335 is a wasteful number, since it uses less digits than its factorization.

34002133335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13053 (or 13031 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 34002133335 its reverse (53333120043), we get a palindrome (87335253378).

The spelling of 34002133335 in words is "thirty-four billion, two million, one hundred thirty-three thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 19 45 57 95 163 171 285 361 489 815 855 1083 1467 1805 2445 3097 3249 5415 7335 9291 12841 15485 16245 27873 38523 46455 58843 64205 115569 139365 176529 192615 243979 294215 529587 577845 731937 882645 1219895 2093083 2195811 2647935 3659685 4635601 6279249 10465415 10979055 13906803 18837747 23178005 31396245 39768577 41720409 69534015 94188735 119305731 198842885 208602045 357917193 596528655 755602963 1789585965 2266808889 3778014815 6800426667 11334044445 34002133335