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2414311434 = 23531191839
BaseRepresentation
bin1000111111100111…
…0111100000001010
320020020221201200000
42033321313200022
514421030431214
61035323023430
7113554210563
oct21771674012
96206851600
102414311434
1110298a7a07
1257466ab76
132c6259a62
1418c90716a
15e1e51809
hex8fe7780a

2414311434 has 96 divisors (see below), whose sum is σ = 5635768320. Its totient is φ = 773809200.

The previous prime is 2414311421. The next prime is 2414311439. The reversal of 2414311434 is 4341134142.

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 = 2414311398 and 2414311407.

It is not an unprimeable number, because it can be changed into a prime (2414311439) by changing a digit.

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, 2877187 + ... + 2878025.

It is an arithmetic number, because the mean of its divisors is an integer number (58705920).

Almost surely, 22414311434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414311434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817884160).

2414311434 is an abundant number, since it is smaller than the sum of its proper divisors (3221456886).

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

2414311434 is a wasteful number, since it uses less digits than its factorization.

2414311434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1066 counting only the distinct ones).

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

The square root of 2414311434 is about 49135.6432134555. The cubic root of 2414311434 is about 1341.5218904637.

Adding to 2414311434 its reverse (4341134142), we get a palindrome (6755445576).

The spelling of 2414311434 in words is "two billion, four hundred fourteen million, three hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 191 243 279 382 486 558 573 837 839 1146 1674 1678 1719 2511 2517 3438 5022 5034 5157 5921 7533 7551 10314 11842 15066 15102 15471 17763 22653 26009 30942 35526 45306 46413 52018 53289 67959 78027 92826 106578 135918 156054 159867 160249 203877 234081 319734 320498 407754 468162 479601 480747 702243 959202 961494 1404486 1438803 1442241 2106729 2877606 2884482 4213458 4326723 4967719 6320187 8653446 9935438 12640374 12980169 14903157 25960338 29806314 38940507 44709471 77881014 89418942 134128413 268256826 402385239 804770478 1207155717 2414311434