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2714312430 = 23552833947
BaseRepresentation
bin1010000111001001…
…0001111011101110
321000011110100200000
42201302101323232
521024330444210
61125201045130
7124156163214
oct24162217356
97004410600
102714312430
111173182115
126390267a6
1334345813b
141ba6bacb4
1510d460ac0
hexa1c91eee

2714312430 has 96 divisors (see below), whose sum is σ = 7346312064. Its totient is φ = 721076256.

The previous prime is 2714312411. The next prime is 2714312467. The reversal of 2714312430 is 342134172.

It is a happy number.

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 = 2714312394 and 2714312403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685717 + ... + 689663.

It is an arithmetic number, because the mean of its divisors is an integer number (76524084).

Almost surely, 22714312430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2714312430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673156032).

2714312430 is an abundant number, since it is smaller than the sum of its proper divisors (4631999634).

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

2714312430 is a wasteful number, since it uses less digits than its factorization.

2714312430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2714312430 is about 52099.0636192245. The cubic root of 2714312430 is about 1394.9327751164.

The spelling of 2714312430 in words is "two billion, seven hundred fourteen million, three hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 283 405 486 566 810 849 1215 1415 1698 2430 2547 2830 3947 4245 5094 7641 7894 8490 11841 12735 15282 19735 22923 23682 25470 35523 38205 39470 45846 59205 68769 71046 76410 106569 114615 118410 137538 177615 213138 229230 319707 343845 355230 532845 639414 687690 959121 1065690 1117001 1598535 1918242 2234002 3197070 3351003 4795605 5585005 6702006 9591210 10053009 11170010 16755015 20106018 30159027 33510030 50265045 60318054 90477081 100530090 150795135 180954162 271431243 301590270 452385405 542862486 904770810 1357156215 2714312430