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34066733344 = 257221726233
BaseRepresentation
bin11111101110100010…
…010001100100100000
310020221011120100202121
4133232202101210200
51024232040431334
623352224154024
72314130312200
oct375642214440
9106834510677
1034066733344
11134a1867a86
126728a68914
13329ba804a7
1419125b0400
15d45b81db4
hex7ee891920

34066733344 has 36 divisors (see below), whose sum is σ = 78018906294. Its totient is φ = 14600027904.

The previous prime is 34066733341. The next prime is 34066733353. The reversal of 34066733344 is 44333766043.

It can be written as a sum of positive squares in only one way, i.e., 33892810000 + 173923344 = 184100^2 + 13188^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34066733344.

It is not an unprimeable number, because it can be changed into a prime (34066733341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10861549 + ... + 10864684.

Almost surely, 234066733344 is an apocalyptic number.

It is an amenable number.

34066733344 is an abundant number, since it is smaller than the sum of its proper divisors (43952172950).

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

34066733344 is a wasteful number, since it uses less digits than its factorization.

34066733344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21726257 (or 21726242 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 43.

The spelling of 34066733344 in words is "thirty-four billion, sixty-six million, seven hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 21726233 43452466 86904932 152083631 173809864 304167262 347619728 608334524 695239456 1064585417 1216669048 2129170834 2433338096 4258341668 4866676192 8516683336 17033366672 34066733344