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10434294 = 23213174361
BaseRepresentation
bin100111110011…
…011011110110
3201122010011100
4213303123312
510132344134
61011350530
7154455453
oct47633366
921563140
1010434294
115987492
1235b2446
132214450
14155882a
15db1999
hex9f36f6

10434294 has 96 divisors (see below), whose sum is σ = 26810784. Its totient is φ = 2903040.

The previous prime is 10434289. The next prime is 10434299. The reversal of 10434294 is 49243401.

It is an interprime number because it is at equal distance from previous prime (10434289) and next prime (10434299).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434299) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171024 + ... + 171084.

It is an arithmetic number, because the mean of its divisors is an integer number (279279).

Almost surely, 210434294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

10434294 is an abundant number, since it is smaller than the sum of its proper divisors (16376490).

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

10434294 is a wasteful number, since it uses less digits than its factorization.

10434294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10434294 is about 3230.2157822659. The cubic root of 10434294 is about 218.5182379127.

Adding to 10434294 its reverse (49243401), we get a palindrome (59677695).

The spelling of 10434294 in words is "ten million, four hundred thirty-four thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 43 51 61 78 86 102 117 122 129 153 183 221 234 258 306 366 387 442 549 559 663 731 774 793 1037 1098 1118 1326 1462 1586 1677 1989 2074 2193 2379 2623 3111 3354 3978 4386 4758 5031 5246 6222 6579 7137 7869 9333 9503 10062 13158 13481 14274 15738 18666 19006 23607 26962 28509 34099 40443 44591 47214 57018 68198 80886 85527 89182 102297 121329 133773 171054 204594 242658 267546 306891 401319 579683 613782 802638 1159366 1739049 3478098 5217147 10434294