Search a number
-
+
34213333024 = 2513312653019
BaseRepresentation
bin11111110111010001…
…100000100000100000
310021022101102101201101
4133313101200200200
51030032103124044
623414542244144
72320560350413
oct376721404040
9107271371641
1034213333024
1113567597542
126769b86654
1332c325b770
141927c51b7a
15d5398dcd4
hex7f7460820

34213333024 has 48 divisors (see below), whose sum is σ = 74878836480. Its totient is φ = 15281383680.

The previous prime is 34213332997. The next prime is 34213333027. The reversal of 34213333024 is 42033331243.

It is a happy number.

It is a super-2 number, since 2×342133330242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34213332983 and 34213333001.

It is not an unprimeable number, because it can be changed into a prime (34213333027) 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, 1313614 + ... + 1339405.

It is an arithmetic number, because the mean of its divisors is an integer number (1559975760).

Almost surely, 234213333024 is an apocalyptic number.

It is an amenable number.

34213333024 is an abundant number, since it is smaller than the sum of its proper divisors (40665503456).

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

34213333024 is a wasteful number, since it uses less digits than its factorization.

34213333024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653073 (or 2653065 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 34213333024 its reverse (42033331243), we get a palindrome (76246664267).

The spelling of 34213333024 in words is "thirty-four billion, two hundred thirteen million, three hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 12896 2653019 5306038 10612076 21224152 34489247 42448304 68978494 82243589 84896608 137956988 164487178 275913976 328974356 551827952 657948712 1069166657 1103655904 1315897424 2138333314 2631794848 4276666628 8553333256 17106666512 34213333024