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1334334420 = 22325172318959
BaseRepresentation
bin100111110001000…
…0101001111010100
310102222210012201100
41033202011033110
510213042200140
6340223230100
745031440546
oct11742051724
93388705640
101334334420
11625219221
12312a48330
13183599ac3
14c92db696
157c223530
hex4f8853d4

1334334420 has 144 divisors (see below), whose sum is σ = 4472133120. Its totient is φ = 320314368.

The previous prime is 1334334347. The next prime is 1334334439. The reversal of 1334334420 is 244334331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60901 + ... + 79859.

It is an arithmetic number, because the mean of its divisors is an integer number (31056480).

Almost surely, 21334334420 is an apocalyptic number.

1334334420 is a gapful number since it is divisible by the number (10) 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 1334334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236066560).

1334334420 is an abundant number, since it is smaller than the sum of its proper divisors (3137798700).

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

1334334420 is a wasteful number, since it uses less digits than its factorization.

1334334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19014 (or 19009 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 1334334420 is about 36528.5425386779. The cubic root of 1334334420 is about 1100.9178069991.

Adding to 1334334420 its reverse (244334331), we get a palindrome (1578668751).

The spelling of 1334334420 in words is "one billion, three hundred thirty-four million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 1020 1035 1173 1380 1530 1564 1955 2070 2346 3060 3519 3910 4140 4692 5865 7038 7820 11730 14076 17595 18959 23460 35190 37918 56877 70380 75836 94795 113754 170631 189590 227508 284385 322303 341262 379180 436057 568770 644606 682524 853155 872114 966909 1137540 1289212 1308171 1611515 1706310 1744228 1933818 2180285 2616342 2900727 3223030 3412620 3867636 3924513 4360570 4834545 5232684 5801454 6446060 6540855 7412969 7849026 8721140 9669090 11602908 13081710 14503635 14825938 15698052 19338180 19622565 22238907 26163420 29007270 29651876 37064845 39245130 44477814 58014540 66716721 74129690 78490260 88955628 111194535 133433442 148259380 222389070 266866884 333583605 444778140 667167210 1334334420