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34397681096 = 23233143592377
BaseRepresentation
bin100000000010010000…
…101111010111001000
310021210020022020201202
4200002100233113020
51030421301243341
623445125403332
72325256315352
oct400220572710
9107706266652
1034397681096
1113651659a19
1267bb869548
1333224c576c
14194451c0d2
15d64c5579b
hex80242f5c8

34397681096 has 128 divisors (see below), whose sum is σ = 72321638400. Its totient is φ = 15280151040.

The previous prime is 34397681083. The next prime is 34397681099. The reversal of 34397681096 is 69018679343.

It is a super-2 number, since 2×343976810962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34397681099) 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 31 ways as a sum of consecutive naturals, for example, 14469860 + ... + 14472236.

It is an arithmetic number, because the mean of its divisors is an integer number (565012800).

Almost surely, 234397681096 is an apocalyptic number.

It is an amenable number.

34397681096 is an abundant number, since it is smaller than the sum of its proper divisors (37923957304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34397681096 is a wasteful number, since it uses less digits than its factorization.

34397681096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 56.

The spelling of 34397681096 in words is "thirty-four billion, three hundred ninety-seven million, six hundred eighty-one thousand, ninety-six".

Divisors: 1 2 4 8 23 31 43 46 59 62 86 92 118 124 172 184 236 248 344 472 713 989 1333 1357 1426 1829 1978 2377 2537 2666 2714 2852 3658 3956 4754 5074 5332 5428 5704 7316 7912 9508 10148 10664 10856 14632 19016 20296 30659 42067 54671 58351 61318 73687 78647 84134 102211 109342 116702 122636 140243 147374 157294 168268 204422 218684 233404 245272 280486 294748 314588 336536 408844 437368 466808 560972 589496 629176 817688 1121944 1694801 1808881 2350853 3168541 3225589 3389602 3617762 4347533 4701706 6030449 6337082 6451178 6779204 7235524 8695066 9403412 12060898 12674164 12902356 13558408 14471048 17390132 18806824 24121796 25348328 25804712 34780264 48243592 72876443 99993259 138700327 145752886 186943919 199986518 277400654 291505772 373887838 399973036 554801308 583011544 747775676 799946072 1109602616 1495551352 4299710137 8599420274 17198840548 34397681096