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10340640 = 2532543167
BaseRepresentation
bin100111011100…
…100100100000
3201110100200200
4213130210200
510121400030
61005345200
7153615432
oct47344440
921410620
1010340640
115923092
123568200
1321b092b
141532652
15d93d60
hex9dc920

10340640 has 144 divisors (see below), whose sum is σ = 36324288. Its totient is φ = 2677248.

The previous prime is 10340609. The next prime is 10340647. The reversal of 10340640 is 4604301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61837 + ... + 62003.

It is an arithmetic number, because the mean of its divisors is an integer number (252252).

Almost surely, 210340640 is an apocalyptic number.

10340640 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 10340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162144).

10340640 is an abundant number, since it is smaller than the sum of its proper divisors (25983648).

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

10340640 is a wasteful number, since it uses less digits than its factorization.

10340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10340640 is about 3215.6865518890. The cubic root of 10340640 is about 217.8624949991.

Adding to 10340640 its reverse (4604301), we get a palindrome (14944941).

The spelling of 10340640 in words is "ten million, three hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 167 172 180 215 240 258 288 334 344 360 387 430 480 501 516 645 668 688 720 774 835 860 1002 1032 1290 1336 1376 1440 1503 1548 1670 1720 1935 2004 2064 2505 2580 2672 3006 3096 3340 3440 3870 4008 4128 5010 5160 5344 6012 6192 6680 6880 7181 7515 7740 8016 10020 10320 12024 12384 13360 14362 15030 15480 16032 20040 20640 21543 24048 26720 28724 30060 30960 35905 40080 43086 48096 57448 60120 61920 64629 71810 80160 86172 107715 114896 120240 129258 143620 172344 215430 229792 240480 258516 287240 323145 344688 430860 517032 574480 646290 689376 861720 1034064 1148960 1292580 1723440 2068128 2585160 3446880 5170320 10340640