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34302401112 = 23372367132499
BaseRepresentation
bin11111111100100101…
…010001101001011000
310021112121000112011110
4133330211101221120
51030222403313422
623431443300320
72323021412220
oct377445215130
9107477015143
1034302401112
11136028a1731
12679397a6a0
133308845485
1419359d9080
15d5b6d460c
hex7fc951a58

34302401112 has 128 divisors (see below), whose sum is σ = 103795200000. Its totient is φ = 9234580608.

The previous prime is 34302401027. The next prime is 34302401129. The reversal of 34302401112 is 21110420343.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 192639 + ... + 325137.

It is an arithmetic number, because the mean of its divisors is an integer number (810900000).

Almost surely, 234302401112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34302401112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51897600000).

34302401112 is an abundant number, since it is smaller than the sum of its proper divisors (69492798888).

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

34302401112 is a wasteful number, since it uses less digits than its factorization.

34302401112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132605 (or 132601 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34302401112 its reverse (21110420343), we get a palindrome (55412821455).

The spelling of 34302401112 in words is "thirty-four billion, three hundred two million, four hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 67 69 84 92 134 138 161 168 184 201 268 276 322 402 469 483 536 552 644 804 938 966 1288 1407 1541 1608 1876 1932 2814 3082 3752 3864 4623 5628 6164 9246 10787 11256 12328 18492 21574 32361 36984 43148 64722 86296 129444 132499 258888 264998 397497 529996 794994 927493 1059992 1589988 1854986 2782479 3047477 3179976 3709972 5564958 6094954 7419944 8877433 9142431 11129916 12189908 17754866 18284862 21332339 22259832 24379816 26632299 35509732 36569724 42664678 53264598 62142031 63997017 71019464 73139448 85329356 106529196 124284062 127994034 170658712 186426093 204180959 213058392 248568124 255988068 372852186 408361918 497136248 511976136 612542877 745704372 816723836 1225085754 1429266713 1491408744 1633447672 2450171508 2858533426 4287800139 4900343016 5717066852 8575600278 11434133704 17151200556 34302401112