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10340024232 = 2335910337069
BaseRepresentation
bin10011010000101000…
…00011111110101000
3222200121120122200110
421220110003332220
5132134021233412
64430010334320
7514143520146
oct115024037650
928617518613
1010340024232
11442674627a
122006a2a3a0
13c8a28cb45
14701394596
15407b75d3c
hex268503fa8

10340024232 has 64 divisors (see below), whose sum is σ = 26317368000. Its totient is φ = 3384497664.

The previous prime is 10340024209. The next prime is 10340024237. The reversal of 10340024232 is 23242004301.

It is a super-2 number, since 2×103400242322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10340024199 and 10340024208.

It is not an unprimeable number, because it can be changed into a prime (10340024237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459194 + ... + 1466262.

It is an arithmetic number, because the mean of its divisors is an integer number (411208875).

Almost surely, 210340024232 is an apocalyptic number.

10340024232 is a gapful number since it is divisible by the number (12) 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 10340024232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158684000).

10340024232 is an abundant number, since it is smaller than the sum of its proper divisors (15977343768).

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

10340024232 is a wasteful number, since it uses less digits than its factorization.

10340024232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8170 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10340024232 its reverse (23242004301), we get a palindrome (33582028533).

The spelling of 10340024232 in words is "ten billion, three hundred forty million, twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1033 1416 2066 3099 4132 6198 7069 8264 12396 14138 21207 24792 28276 42414 56552 60947 84828 121894 169656 182841 243788 365682 417071 487576 731364 834142 1251213 1462728 1668284 2502426 3336568 5004852 7302277 10009704 14604554 21906831 29209108 43813662 58418216 87627324 175254648 430834343 861668686 1292503029 1723337372 2585006058 3446674744 5170012116 10340024232