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690344993 = 13172192509
BaseRepresentation
bin101001001001011…
…101010000100001
31210010000011022002
4221021131100201
52403212014433
6152300253345
723051556422
oct5111352041
91703004262
10690344993
11324755458
12173241255
13b003b880
1467983649
15409169e8
hex2925d421

690344993 has 36 divisors (see below), whose sum is σ = 835144380. Its totient is φ = 567074304.

The previous prime is 690344969. The next prime is 690345077. The reversal of 690344993 is 399443096.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 48888064 + 641456929 = 6992^2 + 25327^2 .

It is not a de Polignac number, because 690344993 - 26 = 690344929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (690344903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1356023 + ... + 1356531.

It is an arithmetic number, because the mean of its divisors is an integer number (23198455).

Almost surely, 2690344993 is an apocalyptic number.

It is an amenable number.

690344993 is a deficient number, since it is larger than the sum of its proper divisors (144799387).

690344993 is a wasteful number, since it uses less digits than its factorization.

690344993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 47.

The square root of 690344993 is about 26274.4170820211. The cubic root of 690344993 is about 883.8028406460.

The spelling of 690344993 in words is "six hundred ninety million, three hundred forty-four thousand, nine hundred ninety-three".

Divisors: 1 13 17 19 221 247 289 323 361 509 3757 4199 4693 5491 6137 6617 8653 9671 71383 79781 104329 112489 125723 147101 164407 183749 1356277 1912313 2137291 2388737 2794919 3123733 36333947 40608529 53103461 690344993