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34023231424 = 267132571787
BaseRepresentation
bin11111101011111100…
…010100111111000000
310020211010201020100101
4133223330110333000
51024134421401144
623344031532144
72313061460350
oct375374247700
9106733636311
1034023231424
111347a255386
12671638a054
133292a5ba00
14190a8c8b60
15d41e3c6d4
hex7ebf14fc0

34023231424 has 168 divisors, whose sum is σ = 83804443008. Its totient is φ = 13419095040.

The previous prime is 34023231421. The next prime is 34023231481. The reversal of 34023231424 is 42413232043.

It is a super-2 number, since 2×340232314242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34023231392 and 34023231401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023231421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43231159 + ... + 43231945.

Almost surely, 234023231424 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 34023231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41902221504).

34023231424 is an abundant number, since it is smaller than the sum of its proper divisors (49781211584).

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

34023231424 is a wasteful number, since it uses less digits than its factorization.

34023231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34023231424 its reverse (42413232043), we get a palindrome (76436463467).

The spelling of 34023231424 in words is "thirty-four billion, twenty-three million, two hundred thirty-one thousand, four hundred twenty-four".