Search a number
-
+
1343020420 = 225727318773
BaseRepresentation
bin101000000001100…
…1101110110000100
310110121010111200001
41100003031312010
510222303123140
6341133331044
745165325300
oct12003156604
93417114601
101343020420
1162a111135
12315936a84
1318531b551
14ca51cd00
157cd8be9a
hex500cdd84

1343020420 has 72 divisors (see below), whose sum is σ = 3325926744. Its totient is φ = 454132224.

The previous prime is 1343020411. The next prime is 1343020433. The reversal of 1343020420 is 240203431.

It can be written as a sum of positive squares in 4 ways, for example, as 602309764 + 740710656 = 24542^2 + 27216^2 .

It is a super-3 number, since 3×13430204203 (a number of 28 digits) contains 333 as substring.

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, 62154 + ... + 80926.

It is an arithmetic number, because the mean of its divisors is an integer number (46193427).

Almost surely, 21343020420 is an apocalyptic number.

1343020420 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 1343020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662963372).

1343020420 is an abundant number, since it is smaller than the sum of its proper divisors (1982906324).

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

1343020420 is a wasteful number, since it uses less digits than its factorization.

1343020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18869 (or 18860 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1343020420 is about 36647.2430068075. The cubic root of 1343020420 is about 1103.3014916032.

Adding to 1343020420 its reverse (240203431), we get a palindrome (1583223851).

The spelling of 1343020420 in words is "one billion, three hundred forty-three million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 730 980 1022 1460 2044 2555 3577 5110 7154 10220 14308 17885 18773 35770 37546 71540 75092 93865 131411 187730 262822 375460 525644 657055 919877 1314110 1370429 1839754 2628220 2740858 3679508 4599385 5481716 6852145 9198770 9593003 13704290 18397540 19186006 27408580 38372012 47965015 67151021 95930030 134302042 191860060 268604084 335755105 671510210 1343020420