Search a number
-
+
34494520192380 = 22345476124130817
BaseRepresentation
bin1111101011111011000011…
…00111110110110101111100
311112010122101102101002210000
413311331201213312311330
514010124234132124010
6201210321441114300
710160101236600333
oct765754147666574
9145118342332700
1034494520192380
11aa9a053418596
123a51329028990
131632a85cc1921
14873787c30d1a
153ec4357857c0
hex1f5f619f6d7c

34494520192380 has 480 divisors, whose sum is σ = 112794365198592. Its totient is φ = 8818207948800.

The previous prime is 34494520192331. The next prime is 34494520192381. The reversal of 34494520192380 is 8329102549443.

It is a happy number.

34494520192380 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 4 + 520 + 19 + 23 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34494520192381) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1119318732 + ... + 1119349548.

Almost surely, 234494520192380 is an apocalyptic number.

34494520192380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34494520192380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56397182599296).

34494520192380 is an abundant number, since it is smaller than the sum of its proper divisors (78299845006212).

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

34494520192380 is a wasteful number, since it uses less digits than its factorization.

34494520192380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31187 (or 31176 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 34494520192380 in words is "thirty-four trillion, four hundred ninety-four billion, five hundred twenty million, one hundred ninety-two thousand, three hundred eighty".