Search a number
-
+
34023332421 = 341352162017
BaseRepresentation
bin11111101011111100…
…101101101001000101
310020211010220100220000
4133223330231221011
51024134433114141
623344034031513
72313062360661
oct375374555105
9106733810800
1034023332421
111347a314251
126716418599
133292a95980
14190a9138a1
15d41e5c5b6
hex7ebf2da45

34023332421 has 40 divisors (see below), whose sum is σ = 54840532824. Its totient is φ = 20896911360.

The previous prime is 34023332401. The next prime is 34023332423. The reversal of 34023332421 is 12423332043.

34023332421 is a `hidden beast` number, since 3 + 4 + 0 + 233 + 3 + 2 + 421 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6811200900 + 27212131521 = 82530^2 + 164961^2 .

It is not a de Polignac number, because 34023332421 - 25 = 34023332389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023332423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 517605 + ... + 579621.

Almost surely, 234023332421 is an apocalyptic number.

It is an amenable number.

34023332421 is a deficient number, since it is larger than the sum of its proper divisors (20817200403).

34023332421 is a wasteful number, since it uses less digits than its factorization.

34023332421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62563 (or 62554 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34023332421 its reverse (12423332043), we get a palindrome (46446664464).

The spelling of 34023332421 in words is "thirty-four billion, twenty-three million, three hundred thirty-two thousand, four hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 351 521 1053 1563 4689 6773 14067 20319 42201 60957 62017 182871 186051 548613 558153 806221 1674459 2418663 5023377 7255989 21767967 32310857 65303901 96932571 290797713 420041141 872393139 1260123423 2617179417 3780370269 11341110807 34023332421