Search a number
-
+
3000134112 = 253534791231
BaseRepresentation
bin1011001011010010…
…0110100111100000
321202002021121022020
42302310212213200
522121013242422
61213411141440
7134226501453
oct26264464740
97662247266
103000134112
1112aa552188
126b88a4880
1338a7305b1
1420663d49a
151285bd95c
hexb2d269e0

3000134112 has 96 divisors (see below), whose sum is σ = 8047226880. Its totient is φ = 978332160.

The previous prime is 3000134101. The next prime is 3000134117. The reversal of 3000134112 is 2114310003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3000134091 and 3000134100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000134117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2436537 + ... + 2437767.

It is an arithmetic number, because the mean of its divisors is an integer number (83825280).

Almost surely, 23000134112 is an apocalyptic number.

3000134112 is a gapful number since it is divisible by the number (32) 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 3000134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023613440).

3000134112 is an abundant number, since it is smaller than the sum of its proper divisors (5047092768).

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

3000134112 is a wasteful number, since it uses less digits than its factorization.

3000134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3000134112 is about 54773.4800062950. The cubic root of 3000134112 is about 1442.2710614288.

Adding to 3000134112 its reverse (2114310003), we get a palindrome (5114444115).

The spelling of 3000134112 in words is "three billion, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 479 636 848 958 1231 1272 1437 1696 1916 2462 2544 2874 3693 3832 4924 5088 5748 7386 7664 9848 11496 14772 15328 19696 22992 25387 29544 39392 45984 50774 59088 65243 76161 101548 118176 130486 152322 195729 203096 260972 304644 391458 406192 521944 589649 609288 782916 812384 1043888 1179298 1218576 1565832 1768947 2087776 2358596 2437152 3131664 3537894 4717192 6263328 7075788 9434384 14151576 18868768 28303152 31251397 56606304 62502794 93754191 125005588 187508382 250011176 375016764 500022352 750033528 1000044704 1500067056 3000134112