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3452300709 = 3111331436037
BaseRepresentation
bin1100110111000101…
…1110110110100101
322220121010001021020
43031301132312211
524032242110314
61330322441353
7151360033434
oct31561366645
98817101236
103452300709
111511808690
12804203259
134303084b0
1424a70311b
15153138da9
hexcdc5eda5

3452300709 has 64 divisors (see below), whose sum is σ = 5713010688. Its totient is φ = 1825286400.

The previous prime is 3452300681. The next prime is 3452300777. The reversal of 3452300709 is 9070032543.

It is a happy number.

It is not a de Polignac number, because 3452300709 - 212 = 3452296613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3452300709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452301709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568839 + ... + 574875.

It is an arithmetic number, because the mean of its divisors is an integer number (89265792).

Almost surely, 23452300709 is an apocalyptic number.

3452300709 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3452300709 is a deficient number, since it is larger than the sum of its proper divisors (2260709979).

3452300709 is a wasteful number, since it uses less digits than its factorization.

3452300709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138.

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 3452300709 is about 58756.2822938960. The cubic root of 3452300709 is about 1511.3656211512.

The spelling of 3452300709 in words is "three billion, four hundred fifty-two million, three hundred thousand, seven hundred nine".

Divisors: 1 3 11 13 31 33 39 43 93 129 143 341 403 429 473 559 1023 1209 1333 1419 1677 3999 4433 6037 6149 13299 14663 17329 18111 18447 43989 51987 66407 78481 187147 190619 199221 235443 259591 561441 571857 778773 863291 2058617 2432911 2589873 2855501 3374683 6175851 7298733 8047321 8566503 10124049 24141963 26762021 37121513 80286063 88520531 104615173 111364539 265561593 313845519 1150766903 3452300709