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2130434334 = 232759328513
BaseRepresentation
bin111111011111011…
…1101100100011110
312111110210021111100
41332332331210132
513330342344314
6551222333530
7103536251550
oct17676754436
95443707440
102130434334
119a3635936
124b558a2a6
1327c4b5742
14162d2d4d0
15c7079c09
hex7efbd91e

2130434334 has 48 divisors (see below), whose sum is σ = 5284442592. Its totient is φ = 607647744.

The previous prime is 2130434329. The next prime is 2130434357. The reversal of 2130434334 is 4334340312.

2130434334 is a `hidden beast` number, since 21 + 304 + 3 + 4 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2130434298 and 2130434307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60462 + ... + 88974.

It is an arithmetic number, because the mean of its divisors is an integer number (110092554).

Almost surely, 22130434334 is an apocalyptic number.

2130434334 is an abundant number, since it is smaller than the sum of its proper divisors (3154008258).

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

2130434334 is a wasteful number, since it uses less digits than its factorization.

2130434334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29121 (or 29118 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 2130434334 is about 46156.6282780707. The cubic root of 2130434334 is about 1286.7357999162.

Adding to 2130434334 its reverse (4334340312), we get a palindrome (6464774646).

The spelling of 2130434334 in words is "two billion, one hundred thirty million, four hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 593 1186 1779 3558 4151 5337 8302 10674 12453 24906 28513 37359 57026 74718 85539 171078 199591 256617 399182 513234 598773 1197546 1796319 3592638 16908209 33816418 50724627 101449254 118357463 152173881 236714926 304347762 355072389 710144778 1065217167 2130434334