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34407444040 = 2353723248273
BaseRepresentation
bin100000000010110101…
…111110111001001000
310021210220200020222021
4200002311332321020
51030431301202130
623450114534224
72325435306634
oct400265767110
9107726606867
1034407444040
1113657117a72
126802b97374
133324533458
14194593ddc4
15d65a3337a
hex802d7ee48

34407444040 has 32 divisors (see below), whose sum is σ = 79509097080. Its totient is φ = 13391004672.

The previous prime is 34407444017. The next prime is 34407444103. The reversal of 34407444040 is 4044470443.

It can be written as a sum of positive squares in 4 ways, for example, as 34114828804 + 292615236 = 184702^2 + 17106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34407443987 and 34407444005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11622657 + ... + 11625616.

Almost surely, 234407444040 is an apocalyptic number.

It is an amenable number.

34407444040 is an abundant number, since it is smaller than the sum of its proper divisors (45101653040).

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

34407444040 is a wasteful number, since it uses less digits than its factorization.

34407444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23248321 (or 23248317 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 34.

The spelling of 34407444040 in words is "thirty-four billion, four hundred seven million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 23248273 46496546 92993092 116241365 185986184 232482730 464965460 860186101 929930920 1720372202 3440744404 4300930505 6881488808 8601861010 17203722020 34407444040