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35040012 = 22374389109
BaseRepresentation
bin1000010110101…
…0101100001100
32102221012212020
42011222230030
532432240022
63251010140
7603556320
oct205525414
972835766
1035040012
1118863097
12b899950
13734b047
144921980
15312235c
hex216ab0c

35040012 has 96 divisors (see below), whose sum is σ = 97574400. Its totient is φ = 9580032.

The previous prime is 35040001. The next prime is 35040023. The reversal of 35040012 is 21004053.

It is an interprime number because it is at equal distance from previous prime (35040001) and next prime (35040023).

It is a junction number, because it is equal to n+sod(n) for n = 35039973 and 35040000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321414 + ... + 321522.

It is an arithmetic number, because the mean of its divisors is an integer number (1016400).

Almost surely, 235040012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35040012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48787200).

35040012 is an abundant number, since it is smaller than the sum of its proper divisors (62534388).

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

35040012 is a wasteful number, since it uses less digits than its factorization.

35040012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 35040012 is about 5919.4604483855. The cubic root of 35040012 is about 327.2312329828.

Adding to 35040012 its reverse (21004053), we get a palindrome (56044065).

The spelling of 35040012 in words is "thirty-five million, forty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 89 109 129 172 178 218 258 267 301 327 356 436 516 534 602 623 654 763 903 1068 1204 1246 1308 1526 1806 1869 2289 2492 3052 3612 3738 3827 4578 4687 7476 7654 9156 9374 9701 11481 14061 15308 18748 19402 22962 26789 28122 29103 32809 38804 45924 53578 56244 58206 65618 67907 80367 98427 107156 116412 131236 135814 160734 196854 203721 271628 321468 393708 407442 417143 814884 834286 1251429 1668572 2502858 2920001 5005716 5840002 8760003 11680004 17520006 35040012