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10034430 = 235771673
BaseRepresentation
bin100110010001…
…110011111110
3200212210122120
4212101303332
510032100210
6555023410
7151201620
oct46216376
920783576
1010034430
11573401a
12343ab66
132104443
141492c10
15d33270
hex991cfe

10034430 has 64 divisors (see below), whose sum is σ = 27952128. Its totient is φ = 2257920.

The previous prime is 10034419. The next prime is 10034441. The reversal of 10034430 is 3443001.

It is an interprime number because it is at equal distance from previous prime (10034419) and next prime (10034441).

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

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, 14574 + ... + 15246.

It is an arithmetic number, because the mean of its divisors is an integer number (436752).

Almost surely, 210034430 is an apocalyptic number.

10034430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10034430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976064).

10034430 is an abundant number, since it is smaller than the sum of its proper divisors (17917698).

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

10034430 is a wasteful number, since it uses less digits than its factorization.

10034430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761.

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

The square root of 10034430 is about 3167.7168434063. The cubic root of 10034430 is about 215.6904430637.

Adding to 10034430 its reverse (3443001), we get a palindrome (13477431).

The spelling of 10034430 in words is "ten million, thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 673 710 994 1065 1346 1491 2019 2130 2485 2982 3365 4038 4711 4970 6730 7455 9422 10095 14133 14910 20190 23555 28266 47110 47783 70665 95566 141330 143349 238915 286698 334481 477830 668962 716745 1003443 1433490 1672405 2006886 3344810 5017215 10034430