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10332324240 = 2435721018699
BaseRepresentation
bin10011001111101101…
…01100000110010000
3222200002002110021120
421213312230012100
5132130033333430
64425133322240
7514021210200
oct114766540620
928602073246
1010332324240
114422367147
122004336380
13c887c5134
1470034c400
15407154610
hex267dac190

10332324240 has 240 divisors, whose sum is σ = 37632859200. Its totient is φ = 2338022400.

The previous prime is 10332324239. The next prime is 10332324251. The reversal of 10332324240 is 4242323301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10332324240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1183411 + ... + 1192109.

It is an arithmetic number, because the mean of its divisors is an integer number (156803580).

Almost surely, 210332324240 is an apocalyptic number.

10332324240 is a gapful number since it is divisible by the number (10) 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 10332324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816429600).

10332324240 is an abundant number, since it is smaller than the sum of its proper divisors (27300534960).

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

10332324240 is a wasteful number, since it uses less digits than its factorization.

10332324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8830 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10332324240 its reverse (4242323301), we get a palindrome (14574647541).

The spelling of 10332324240 in words is "ten billion, three hundred thirty-two million, three hundred twenty-four thousand, two hundred forty".