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2034412314 = 231153739787
BaseRepresentation
bin111100101000010…
…1010101100011010
312020210002212001020
41321100222230122
513131302143224
6533512303310
7101262135144
oct17120525432
95223085036
102034412314
119544110a0
124893a1b36
1326563578c
14154295c94
15bd90dc79
hex7942ab1a

2034412314 has 64 divisors (see below), whose sum is σ = 4534341120. Its totient is φ = 603270720.

The previous prime is 2034412283. The next prime is 2034412319. The reversal of 2034412314 is 4132144302.

It is a super-3 number, since 3×20344123143 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2034412319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2584629 + ... + 2585415.

It is an arithmetic number, because the mean of its divisors is an integer number (70849080).

Almost surely, 22034412314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034412314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267170560).

2034412314 is an abundant number, since it is smaller than the sum of its proper divisors (2499928806).

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

2034412314 is a wasteful number, since it uses less digits than its factorization.

2034412314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2034412314 is about 45104.4600233724. The cubic root of 2034412314 is about 1267.1061300459.

Adding to 2034412314 its reverse (4132144302), we get a palindrome (6166556616).

The spelling of 2034412314 in words is "two billion, thirty-four million, four hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 739 787 1166 1478 1574 1749 2217 2361 3498 4434 4722 8129 8657 16258 17314 24387 25971 39167 41711 48774 51942 78334 83422 117501 125133 235002 250266 430837 458821 581593 861674 917642 1163186 1292511 1376463 1744779 2585022 2752926 3489558 6397523 12795046 19192569 30824429 38385138 61648858 92473287 184946574 339068719 678137438 1017206157 2034412314