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34023171104 = 25131931113841
BaseRepresentation
bin11111101011111100…
…000110010000100000
310020211010121011121022
4133223330012100200
51024134412433404
623344030345012
72313061116446
oct375374062040
9106733534538
1034023171104
111347a21402a
12671635b168
133292a3a410
14190a8b0b96
15d41e298be
hex7ebf06420

34023171104 has 96 divisors (see below), whose sum is σ = 76181938560. Its totient is φ = 14827622400.

The previous prime is 34023171089. The next prime is 34023171191. The reversal of 34023171104 is 40117132043.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2451224 + ... + 2465064.

It is an arithmetic number, because the mean of its divisors is an integer number (793561860).

Almost surely, 234023171104 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 34023171104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38090969280).

34023171104 is an abundant number, since it is smaller than the sum of its proper divisors (42158767456).

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

34023171104 is a wasteful number, since it uses less digits than its factorization.

34023171104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14194 (or 14186 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 34023171104 in words is "thirty-four billion, twenty-three million, one hundred seventy-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 311 416 494 608 622 988 1244 1976 2488 3952 4043 4976 5909 7904 8086 9952 11818 13841 16172 23636 27682 32344 47272 55364 64688 76817 94544 110728 129376 153634 179933 189088 221456 262979 307268 359866 442912 525958 614536 719732 1051916 1229072 1439464 2103832 2458144 2878928 3418727 4207664 4304551 5757856 6837454 8415328 8609102 13674908 17218204 27349816 34436408 54699632 55959163 68872816 81786469 109399264 111918326 137745632 163572938 223836652 327145876 447673304 654291752 895346608 1063224097 1308583504 1790693216 2126448194 2617167008 4252896388 8505792776 17011585552 34023171104