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450004324 = 227112317419
BaseRepresentation
bin11010110100101…
…000010101100100
31011100202120212211
4122310220111210
51410200114244
6112353053204
714102654650
oct3264502544
91140676784
10450004324
11211019a00
12106857204
13722cb963
1443a9da60
152978e934
hex1ad28564

450004324 has 72 divisors (see below), whose sum is σ = 994754880. Its totient is φ = 174356160.

The previous prime is 450004301. The next prime is 450004327. The reversal of 450004324 is 423400054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 450004295 and 450004304.

It is not an unprimeable number, because it can be changed into a prime (450004327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073787 + ... + 1074205.

It is an arithmetic number, because the mean of its divisors is an integer number (13816040).

Almost surely, 2450004324 is an apocalyptic number.

450004324 is a gapful number since it is divisible by the number (44) 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 450004324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497377440).

450004324 is an abundant number, since it is smaller than the sum of its proper divisors (544750556).

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

450004324 is a wasteful number, since it uses less digits than its factorization.

450004324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 450004324 is about 21213.3053530090. The cubic root of 450004324 is about 766.3118868464.

Adding to 450004324 its reverse (423400054), we get a palindrome (873404378).

The spelling of 450004324 in words is "four hundred fifty million, four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 317 419 484 634 838 847 1268 1676 1694 2219 2933 3388 3487 4438 4609 5866 6974 8876 9218 11732 13948 18436 24409 32263 38357 48818 50699 64526 76714 97636 101398 129052 132823 153428 202796 265646 268499 354893 531292 536998 709786 929761 1073996 1419572 1461053 1859522 2922106 3719044 5844212 10227371 16071583 20454742 32143166 40909484 64286332 112501081 225002162 450004324