Search a number
-
+
3434672720 = 24542933409
BaseRepresentation
bin1100110010111000…
…1111001001010000
322212100221110012202
43030232033021100
524013234011340
61324452542332
7151054144043
oct31456171120
98770843182
103434672720
1115028684a6
127ba3219a8
1342977592b
14248234c5a
15151805c15
hexccb8f250

3434672720 has 20 divisors (see below), whose sum is σ = 7985614260. Its totient is φ = 1373869056.

The previous prime is 3434672701. The next prime is 3434672729. The reversal of 3434672720 is 272764343.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1534758976 + 1899913744 = 39176^2 + 43588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434672729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21466625 + ... + 21466784.

It is an arithmetic number, because the mean of its divisors is an integer number (399280713).

Almost surely, 23434672720 is an apocalyptic number.

It is an amenable number.

3434672720 is an abundant number, since it is smaller than the sum of its proper divisors (4550941540).

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

3434672720 is a wasteful number, since it uses less digits than its factorization.

3434672720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42933422 (or 42933416 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 38.

The square root of 3434672720 is about 58606.0809131612. The cubic root of 3434672720 is about 1508.7888069703.

The spelling of 3434672720 in words is "three billion, four hundred thirty-four million, six hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 42933409 85866818 171733636 214667045 343467272 429334090 686934544 858668180 1717336360 3434672720