Search a number
-
+
1343413120 = 27571012969
BaseRepresentation
bin101000000010010…
…1101101110000000
310110121212110100111
41100010231232000
510222403204440
6341150001104
745201552220
oct12004555600
93417773314
101343413120
1162a35a185
12315aa6194
1318542820a
14ca5c2080
157ce184ea
hex5012db80

1343413120 has 128 divisors (see below), whose sum is σ = 3707985600. Its totient is φ = 455884800.

The previous prime is 1343413063. The next prime is 1343413129. The reversal of 1343413120 is 213143431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1343413091 and 1343413100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343413129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450996 + ... + 453964.

Almost surely, 21343413120 is an apocalyptic number.

1343413120 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 1343413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853992800).

1343413120 is an abundant number, since it is smaller than the sum of its proper divisors (2364572480).

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

1343413120 is a wasteful number, since it uses less digits than its factorization.

1343413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1343413120 is about 36652.6004534467. The cubic root of 1343413120 is about 1103.4090164696.

Adding to 1343413120 its reverse (213143431), we get a palindrome (1556556551).

The spelling of 1343413120 in words is "one billion, three hundred forty-three million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 128 140 160 202 224 280 320 404 448 505 560 640 707 808 896 1010 1120 1414 1616 2020 2240 2828 2969 3232 3535 4040 4480 5656 5938 6464 7070 8080 11312 11876 12928 14140 14845 16160 20783 22624 23752 28280 29690 32320 41566 45248 47504 56560 59380 64640 83132 90496 95008 103915 113120 118760 166264 190016 207830 226240 237520 299869 332528 380032 415660 452480 475040 599738 665056 831320 950080 1199476 1330112 1499345 1662640 1900160 2099083 2398952 2660224 2998690 3325280 4198166 4797904 5997380 6650560 8396332 9595808 10495415 11994760 13301120 16792664 19191616 20990830 23989520 33585328 38383232 41981660 47979040 67170656 83963320 95958080 134341312 167926640 191916160 268682624 335853280 671706560 1343413120