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10305414 = 2337137199
BaseRepresentation
bin100111010011…
…111110000110
3201101120101000
4213103332012
510114233124
61004514130
7153410640
oct47237606
921346330
1010305414
1158a9679
12354b946
13219a8a2
141523890
15d886c9
hex9d3f86

10305414 has 64 divisors (see below), whose sum is σ = 26496000. Its totient is φ = 2908224.

The previous prime is 10305371. The next prime is 10305431. The reversal of 10305414 is 41450301.

It is a happy number.

It is a super-2 number, since 2×103054142 = 212403115422792, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51687 + ... + 51885.

It is an arithmetic number, because the mean of its divisors is an integer number (414000).

Almost surely, 210305414 is an apocalyptic number.

10305414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10305414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13248000).

10305414 is an abundant number, since it is smaller than the sum of its proper divisors (16190586).

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

10305414 is a wasteful number, since it uses less digits than its factorization.

10305414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10305414 is about 3210.2046663725. The cubic root of 10305414 is about 217.6148264074.

Adding to 10305414 its reverse (41450301), we get a palindrome (51755715).

The spelling of 10305414 in words is "ten million, three hundred five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 137 189 199 274 378 398 411 597 822 959 1194 1233 1393 1791 1918 2466 2786 2877 3582 3699 4179 5373 5754 7398 8358 8631 10746 12537 17262 25074 25893 27263 37611 51786 54526 75222 81789 163578 190841 245367 381682 490734 572523 736101 1145046 1472202 1717569 3435138 5152707 10305414