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10370340 = 22325173389
BaseRepresentation
bin100111100011…
…110100100100
3201111212102200
4213203310210
510123322330
61010134500
7154101141
oct47436444
921455380
1010370340
115943432
123581430
1321c12c6
14153d3c8
15d9ca60
hex9e3d24

10370340 has 72 divisors (see below), whose sum is σ = 33316920. Its totient is φ = 2601984.

The previous prime is 10370329. The next prime is 10370341. The reversal of 10370340 is 4307301.

10370340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 5280804 = 2256^2 + 2298^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10370341) 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, 1366 + ... + 4754.

It is an arithmetic number, because the mean of its divisors is an integer number (462735).

Almost surely, 210370340 is an apocalyptic number.

10370340 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 10370340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658460).

10370340 is an abundant number, since it is smaller than the sum of its proper divisors (22946580).

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

10370340 is a wasteful number, since it uses less digits than its factorization.

10370340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10370340 is about 3220.3012281462. The cubic root of 10370340 is about 218.0708744668.

Adding to 10370340 its reverse (4307301), we get a palindrome (14677641).

The spelling of 10370340 in words is "ten million, three hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3389 6778 10167 13556 16945 20334 30501 33890 40668 50835 57613 61002 67780 101670 115226 122004 152505 172839 203340 230452 288065 305010 345678 518517 576130 610020 691356 864195 1037034 1152260 1728390 2074068 2592585 3456780 5185170 10370340