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34044440304 = 243732067811
BaseRepresentation
bin11111101101001101…
…001110111011110000
310020212121121202110110
4133231031032323300
51024210334042204
623350110301320
72313436653000
oct375515167360
9106777552413
1034044440304
1113490220986
1267214b7840
133297276444
14190d64a000
15d43c2b889
hex7ed34eef0

34044440304 has 80 divisors (see below), whose sum is σ = 102563475200. Its totient is φ = 9726978240.

The previous prime is 34044440303. The next prime is 34044440317. The reversal of 34044440304 is 40304444043.

It is a super-2 number, since 2×340444403042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34044440303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1017442 + ... + 1050369.

It is an arithmetic number, because the mean of its divisors is an integer number (1282043440).

Almost surely, 234044440304 is an apocalyptic number.

It is an amenable number.

34044440304 is an abundant number, since it is smaller than the sum of its proper divisors (68519034896).

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

34044440304 is a wasteful number, since it uses less digits than its factorization.

34044440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067843 (or 2067823 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 34044440304 its reverse (40304444043), we get a palindrome (74348884347).

The spelling of 34044440304 in words is "thirty-four billion, forty-four million, four hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 4116 5488 8232 16464 2067811 4135622 6203433 8271244 12406866 14474677 16542488 24813732 28949354 33084976 43424031 49627464 57898708 86848062 99254928 101322739 115797416 173696124 202645478 231594832 303968217 347392248 405290956 607936434 694784496 709259173 810581912 1215872868 1418518346 1621163824 2127777519 2431745736 2837036692 4255555038 4863491472 5674073384 8511110076 11348146768 17022220152 34044440304