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34113023104 = 271012638693
BaseRepresentation
bin11111110001010010…
…110110110010000000
310021001101200010101011
4133301102312302000
51024330413214404
623401000250304
72315231624566
oct376122666200
9107041603334
1034113023104
1113515a04186
126740470994
1332a8539b94
1419187bda36
15d49c77604
hex7f14b6c80

34113023104 has 32 divisors (see below), whose sum is σ = 68632430940. Its totient is φ = 16887628800.

The previous prime is 34113023051. The next prime is 34113023129. The reversal of 34113023104 is 40132031143.

It can be written as a sum of positive squares in 2 ways, for example, as 34059440704 + 53582400 = 184552^2 + 7320^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 1306419 + ... + 1332274.

Almost surely, 234113023104 is an apocalyptic number.

It is an amenable number.

34113023104 is an abundant number, since it is smaller than the sum of its proper divisors (34519407836).

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

34113023104 is a wasteful number, since it uses less digits than its factorization.

34113023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638808 (or 2638796 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34113023104 its reverse (40132031143), we get a palindrome (74245054247).

The spelling of 34113023104 in words is "thirty-four billion, one hundred thirteen million, twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 2638693 5277386 10554772 21109544 42219088 84438176 168876352 266507993 337752704 533015986 1066031972 2132063944 4264127888 8528255776 17056511552 34113023104