Search a number
-
+
34719614224 = 2437212592
BaseRepresentation
bin100000010101011100…
…110100010100010000
310022121200002010221221
4200111130310110100
51032101210123344
623541105454424
72336245565041
oct402534642420
9108550063857
1034719614224
11137a7354059
12688b641414
133374102839
1419751a08c8
15d83148184
hex815734510

34719614224 has 45 divisors (see below), whose sum is σ = 69191435397. Its totient is φ = 16877207232.

The previous prime is 34719614207. The next prime is 34719614231. The reversal of 34719614224 is 42241691743.

The square root of 34719614224 is 186332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31067587600 + 3652026624 = 176260^2 + 60432^2 .

It is a super-2 number, since 2×347196142242 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27576507 + ... + 27577765.

Almost surely, 234719614224 is an apocalyptic number.

34719614224 is the 186332-nd square number.

It is an amenable number.

34719614224 is a deficient number, since it is larger than the sum of its proper divisors (34471821173).

34719614224 is an frugal number, since it uses more digits than its factorization.

34719614224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 1298 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The spelling of 34719614224 in words is "thirty-four billion, seven hundred nineteen million, six hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 37 74 148 296 592 1259 1369 2518 2738 5036 5476 10072 10952 20144 21904 46583 93166 186332 372664 745328 1585081 1723571 3170162 3447142 6340324 6894284 12680648 13788568 25361296 27577136 58647997 117295994 234591988 469183976 938367952 2169975889 4339951778 8679903556 17359807112 34719614224