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10424340 = 22325291997
BaseRepresentation
bin100111110001…
…000000010100
3201121121111200
4213301000110
510132034330
61011232500
7154414443
oct47610024
921547450
1010424340
11597aa63
1235a8730
13220ca64
141554d5a
15dada60
hex9f1014

10424340 has 72 divisors (see below), whose sum is σ = 32727240. Its totient is φ = 2682624.

The previous prime is 10424317. The next prime is 10424353. The reversal of 10424340 is 4342401.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 10419984 = 66^2 + 3228^2 .

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

It is a congruent number.

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, 4222 + ... + 6218.

It is an arithmetic number, because the mean of its divisors is an integer number (454545).

Almost surely, 210424340 is an apocalyptic number.

10424340 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 10424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16363620).

10424340 is an abundant number, since it is smaller than the sum of its proper divisors (22302900).

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

10424340 is a wasteful number, since it uses less digits than its factorization.

10424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10424340 is about 3228.6746506887. The cubic root of 10424340 is about 218.4487292145.

Adding to 10424340 its reverse (4342401), we get a palindrome (14766741).

The spelling of 10424340 in words is "ten million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 1997 2610 3994 5220 5991 7988 9985 11982 17973 19970 23964 29955 35946 39940 57913 59910 71892 89865 115826 119820 173739 179730 231652 289565 347478 359460 521217 579130 694956 868695 1042434 1158260 1737390 2084868 2606085 3474780 5212170 10424340