Search a number
-
+
10034004376 = 2311485667
BaseRepresentation
bin10010101100001001…
…01100000110011000
3221220021202020100201
421112010230012120
5131022201120001
64335355311544
7503436426034
oct112604540630
927807666321
1010034004376
114289a30000
121b4044b5b4
13c3ba64cc6
146b28951c4
153dad78501
hex25612c198

10034004376 has 40 divisors (see below), whose sum is σ = 20695247100. Its totient is φ = 4560857840.

The previous prime is 10034004373. The next prime is 10034004397. The reversal of 10034004376 is 67340043001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034004373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 74295 + ... + 159961.

Almost surely, 210034004376 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 10034004376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10347623550).

10034004376 is an abundant number, since it is smaller than the sum of its proper divisors (10661242724).

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

10034004376 is an frugal number, since it uses more digits than its factorization.

10034004376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85717 (or 85680 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 10034004376 its reverse (67340043001), we get a palindrome (77374047377).

The spelling of 10034004376 in words is "ten billion, thirty-four million, four thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2662 5324 10648 14641 29282 58564 85667 117128 171334 342668 685336 942337 1884674 3769348 7538696 10365707 20731414 41462828 82925656 114022777 228045554 456091108 912182216 1254250547 2508501094 5017002188 10034004376