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2014240340 = 22571512631
BaseRepresentation
bin111100000001110…
…1101111001010100
312012101011000022002
41320003231321110
513111121142330
6531512054432
7100625521550
oct17003557124
95171130262
102014240340
11943a93642
12482694418
132613c1cb8
14151724860
15bbc76e45
hex780ede54

2014240340 has 72 divisors (see below), whose sum is σ = 4874115456. Its totient is φ = 684936000.

The previous prime is 2014240301. The next prime is 2014240381. The reversal of 2014240340 is 430424102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3191825 + ... + 3192455.

It is an arithmetic number, because the mean of its divisors is an integer number (67696048).

Almost surely, 22014240340 is an apocalyptic number.

2014240340 is a gapful number since it is divisible by the number (20) 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 2014240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437057728).

2014240340 is an abundant number, since it is smaller than the sum of its proper divisors (2859875116).

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

2014240340 is a wasteful number, since it uses less digits than its factorization.

2014240340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2014240340 is about 44880.2889919394. The cubic root of 2014240340 is about 1262.9042647464.

Adding to 2014240340 its reverse (430424102), we get a palindrome (2444664442).

The spelling of 2014240340 in words is "two billion, fourteen million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 631 755 1057 1262 1510 2114 2524 3020 3155 4228 4417 5285 6310 8834 10570 12620 17668 21140 22085 22801 44170 45602 88340 91204 95281 114005 159607 190562 228010 319214 381124 456020 476405 638428 666967 798035 952810 1333934 1596070 1905620 2667868 3192140 3334835 6669670 13339340 14387431 28774862 57549724 71937155 100712017 143874310 201424034 287748620 402848068 503560085 1007120170 2014240340