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34073400704 = 27756236763
BaseRepresentation
bin11111101110111011…
…101101010110000000
310020221122010002122212
4133232323231112000
51024240242310304
623353023121252
72314241061440
oct375673552600
9106848102585
1034073400704
11134a56012a2
12672b143228
1332a0276185
141913428120
15d4654c66e
hex7eeeed580

34073400704 has 64 divisors (see below), whose sum is σ = 77603101440. Its totient is φ = 14598130176.

The previous prime is 34073400659. The next prime is 34073400719. The reversal of 34073400704 is 40700437043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5034827 + ... + 5041589.

It is an arithmetic number, because the mean of its divisors is an integer number (1212548460).

Almost surely, 234073400704 is an apocalyptic number.

It is an amenable number.

34073400704 is an abundant number, since it is smaller than the sum of its proper divisors (43529700736).

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

34073400704 is an equidigital number, since it uses as much as digits as its factorization.

34073400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12407 (or 12395 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 32.

Adding to 34073400704 its reverse (40700437043), we get a palindrome (74773837747).

The spelling of 34073400704 in words is "thirty-four billion, seventy-three million, four hundred thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 5623 6763 11246 13526 22492 27052 39361 44984 47341 54104 78722 89968 94682 108208 157444 179936 189364 216416 314888 359872 378728 432832 629776 719744 757456 865664 1259552 1514912 2519104 3029824 5038208 6059648 38028349 76056698 152113396 266198443 304226792 532396886 608453584 1064793772 1216907168 2129587544 2433814336 4259175088 4867628672 8518350176 17036700352 34073400704