Search a number
-
+
34426574424 = 23331122953857
BaseRepresentation
bin100000000011111110…
…111101011001011000
310021212020200011221000
4200003332331121120
51031001200340144
623452040545000
72326060024434
oct400376753130
9107766604830
1034426574424
11136669a3a00
126809482160
1333284a0ac8
1419482bd9c4
15d67561769
hex803fbd658

34426574424 has 384 divisors, whose sum is σ = 110918808000. Its totient is φ = 9870981120.

The previous prime is 34426574393. The next prime is 34426574437. The reversal of 34426574424 is 42447562443.

34426574424 is a `hidden beast` number, since 34 + 4 + 2 + 6 + 574 + 42 + 4 = 666.

34426574424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34426574424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40170604 + ... + 40171460.

Almost surely, 234426574424 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 34426574424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55459404000).

34426574424 is an abundant number, since it is smaller than the sum of its proper divisors (76492233576).

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

34426574424 is a wasteful number, since it uses less digits than its factorization.

34426574424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 955 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 45.

The spelling of 34426574424 in words is "thirty-four billion, four hundred twenty-six million, five hundred seventy-four thousand, four hundred twenty-four".