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10324340032 = 261273174007
BaseRepresentation
bin10011001110110000…
…01110110101000000
3222122112001211000011
421213120032311000
5132121012340112
64424250234304
7513563304466
oct114730166500
928575054004
1010324340032
114418903526
122001725994
13c86c5ac56
146dd270836
154065c8aa7
hex26760ed40

10324340032 has 56 divisors (see below), whose sum is σ = 20718987264. Its totient is φ = 5104092672.

The previous prime is 10324340021. The next prime is 10324340051. The reversal of 10324340032 is 23004342301.

It is a happy number.

It is a super-2 number, since 2×103243400322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10324339985 and 10324340012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2574573 + ... + 2578579.

Almost surely, 210324340032 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 10324340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359493632).

10324340032 is an abundant number, since it is smaller than the sum of its proper divisors (10394647232).

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

10324340032 is a wasteful number, since it uses less digits than its factorization.

10324340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10324340032 its reverse (23004342301), we get a palindrome (33328682333).

The spelling of 10324340032 in words is "ten billion, three hundred twenty-four million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 127 254 317 508 634 1016 1268 2032 2536 4007 4064 5072 8014 8128 10144 16028 20288 32056 40259 64112 80518 128224 161036 256448 322072 508889 644144 1017778 1270219 1288288 2035556 2540438 2576576 4071112 5080876 8142224 10161752 16284448 20323504 32568896 40647008 81294016 161317813 322635626 645271252 1290542504 2581085008 5162170016 10324340032