Search a number
-
+
2314034331 = 3747101139167
BaseRepresentation
bin1000100111101101…
…0101110010011011
312222021021010100020
42021323111302123
514214343044311
61021341441523
7111225652530
oct21173256233
95867233306
102314034331
11a88237274
12546b702a3
132ab54a0ab
1417d482d87
15d8244c06
hex89ed5c9b

2314034331 has 64 divisors (see below), whose sum is σ = 3684925440. Its totient is φ = 1264521600.

The previous prime is 2314034321. The next prime is 2314034399. The reversal of 2314034331 is 1334304132.

It is not a de Polignac number, because 2314034331 - 211 = 2314032283 is a prime.

It is a super-2 number, since 2×23140343312 = 10709509770093235122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2314034311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13856410 + ... + 13856576.

It is an arithmetic number, because the mean of its divisors is an integer number (57576960).

Almost surely, 22314034331 is an apocalyptic number.

2314034331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2314034331 is a deficient number, since it is larger than the sum of its proper divisors (1370891109).

2314034331 is a wasteful number, since it uses less digits than its factorization.

2314034331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2314034331 is about 48104.4107229264. The cubic root of 2314034331 is about 1322.6855203616.

Adding to 2314034331 its reverse (1334304132), we get a palindrome (3648338463).

The spelling of 2314034331 in words is "two billion, three hundred fourteen million, thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 21 47 101 139 141 167 303 329 417 501 707 973 987 1169 2121 2919 3507 4747 6533 7849 14039 14241 16867 19599 23213 23547 33229 42117 45731 50601 54943 69639 98273 99687 118069 137193 162491 164829 294819 354207 487473 659833 792749 1091011 1979499 2344513 2378247 3273033 4618831 5549243 7033539 7637077 13856493 16411591 16647729 22911231 49234773 110192111 330576333 771344777 2314034331