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3415013024 = 255319310433
BaseRepresentation
bin1100101110001100…
…1111011010100000
322210222221122011212
43023203033122200
523443220404044
61322511325252
7150425063123
oct31343173240
98728848155
103415013024
1114a275a915
127b3820828
13425681387
142457983ba
1514ec20a9e
hexcb8cf6a0

3415013024 has 48 divisors (see below), whose sum is σ = 6886314792. Its totient is φ = 1666449408.

The previous prime is 3415012961. The next prime is 3415013029. The reversal of 3415013024 is 4203105143.

3415013024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3036010000 + 379003024 = 55100^2 + 19468^2 .

It is not an unprimeable number, because it can be changed into a prime (3415013029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322112 + ... + 332544.

Almost surely, 23415013024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443157396).

3415013024 is an abundant number, since it is smaller than the sum of its proper divisors (3471301768).

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

3415013024 is a wasteful number, since it uses less digits than its factorization.

3415013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10689 (or 10681 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3415013024 is about 58438.1127689798. The cubic root of 3415013024 is about 1505.9045821828.

Adding to 3415013024 its reverse (4203105143), we get a palindrome (7618118167).

It can be divided in two parts, 34150 and 13024, that added together give a palindrome (47174).

The spelling of 3415013024 in words is "three billion, four hundred fifteen million, thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 53 106 193 212 386 424 772 848 1544 1696 3088 6176 10229 10433 20458 20866 40916 41732 81832 83464 163664 166928 327328 333856 552949 1105898 2013569 2211796 4027138 4423592 8054276 8847184 16108552 17694368 32217104 64434208 106719157 213438314 426876628 853753256 1707506512 3415013024