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2114344134 = 23474634027
BaseRepresentation
bin111111000000110…
…0101010011000110
312110100111210220000
41332001211103012
513312233003014
6545445422130
7103252425420
oct17601452306
95410453800
102114344134
11995546051
124b010a946
13279070b06
14160b41810
15c594c509
hex7e0654c6

2114344134 has 80 divisors (see below), whose sum is σ = 5427552768. Its totient is φ = 602643888.

The previous prime is 2114344123. The next prime is 2114344147. The reversal of 2114344134 is 4314434112.

2114344134 is a `hidden beast` number, since 211 + 4 + 3 + 441 + 3 + 4 = 666.

It is a super-2 number, since 2×21143441342 = 8940902233960419912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2114344098 and 2114344107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 523029 + ... + 527055.

Almost surely, 22114344134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114344134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713776384).

2114344134 is an abundant number, since it is smaller than the sum of its proper divisors (3313208634).

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

2114344134 is a wasteful number, since it uses less digits than its factorization.

2114344134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4502 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2114344134 is about 45981.9979339741. The cubic root of 2114344134 is about 1283.4882339064.

Adding to 2114344134 its reverse (4314434112), we get a palindrome (6428778246).

The spelling of 2114344134 in words is "two billion, one hundred fourteen million, three hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 463 567 926 1134 1389 2778 3241 4027 4167 6482 8054 8334 9723 12081 12501 19446 24162 25002 28189 29169 36243 37503 56378 58338 72486 75006 84567 87507 108729 169134 175014 217458 253701 262521 326187 507402 525042 652374 761103 1522206 1864501 2283309 3729002 4566618 5593503 11187006 13051507 16780509 26103014 33561018 39154521 50341527 78309042 100683054 117463563 151024581 234927126 302049162 352390689 704781378 1057172067 2114344134