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10341320 = 23511191237
BaseRepresentation
bin100111011100…
…101111001000
3201110101121212
4213130233020
510121410240
61005352252
7153620423
oct47345710
921411555
1010341320
115923650
123568688
1321b1032
1415329ba
15d94165
hex9dcbc8

10341320 has 64 divisors (see below), whose sum is σ = 26740800. Its totient is φ = 3559680.

The previous prime is 10341319. The next prime is 10341323. The reversal of 10341320 is 2314301.

It is a junction number, because it is equal to n+sod(n) for n = 10341295 and 10341304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10341323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7742 + ... + 8978.

It is an arithmetic number, because the mean of its divisors is an integer number (417825).

Almost surely, 210341320 is an apocalyptic number.

10341320 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 10341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370400).

10341320 is an abundant number, since it is smaller than the sum of its proper divisors (16399480).

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

10341320 is a wasteful number, since it uses less digits than its factorization.

10341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 10341320 is about 3215.7922818491. The cubic root of 10341320 is about 217.8672704369.

Adding to 10341320 its reverse (2314301), we get a palindrome (12655621).

The spelling of 10341320 in words is "ten million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1237 1672 2090 2474 4180 4948 6185 8360 9896 12370 13607 23503 24740 27214 47006 49480 54428 68035 94012 108856 117515 136070 188024 235030 258533 272140 470060 517066 544280 940120 1034132 1292665 2068264 2585330 5170660 10341320