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10034340 = 2235414079
BaseRepresentation
bin100110010001…
…110010100100
3200212210112020
4212101302210
510032044330
6555023140
7151201431
oct46216244
920783466
1010034340
115733a48
12343aab0
1321043a4
141492b88
15d33210
hex991ca4

10034340 has 48 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 2609920.

The previous prime is 10034329. The next prime is 10034357. The reversal of 10034340 is 4343001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 210034340 is an apocalyptic number.

10034340 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 10034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

10034340 is an abundant number, since it is smaller than the sum of its proper divisors (18754140).

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

10034340 is a wasteful number, since it uses less digits than its factorization.

10034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 10034340 is about 3167.7026375593. The cubic root of 10034340 is about 215.6897982107.

Adding to 10034340 its reverse (4343001), we get a palindrome (14377341).

The spelling of 10034340 in words is "ten million, thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4079 8158 12237 16316 20395 24474 40790 48948 61185 81580 122370 167239 244740 334478 501717 668956 836195 1003434 1672390 2006868 2508585 3344780 5017170 10034340