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1330444224 = 26333720809
BaseRepresentation
bin100111101001100…
…1111011111000000
310102201110120101000
41033103033133000
510211043203344
6340004012000
744653406064
oct11723173700
93381416330
101330444224
1162300148a
12311691000
13182837205
14c89a7aa4
157bc05a69
hex4f4cf7c0

1330444224 has 112 divisors (see below), whose sum is σ = 4017162400. Its totient is φ = 431474688.

The previous prime is 1330444211. The next prime is 1330444231. The reversal of 1330444224 is 4224440331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53532 + ... + 74340.

Almost surely, 21330444224 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 1330444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008581200).

1330444224 is an abundant number, since it is smaller than the sum of its proper divisors (2686718176).

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

1330444224 is a wasteful number, since it uses less digits than its factorization.

1330444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20867 (or 20851 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1330444224 is about 36475.2549545579. The cubic root of 1330444224 is about 1099.8468723485.

Adding to 1330444224 its reverse (4224440331), we get a palindrome (5554884555).

The spelling of 1330444224 in words is "one billion, three hundred thirty million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3996 5328 7104 7992 10656 15984 20809 21312 31968 41618 62427 63936 83236 124854 166472 187281 249708 332944 374562 499416 561843 665888 749124 769933 998832 1123686 1331776 1498248 1539866 1997664 2247372 2309799 2996496 3079732 3995328 4494744 4619598 5992992 6159464 6929397 8989488 9239196 11985984 12318928 13858794 17978976 18478392 20788191 24637856 27717588 35957952 36956784 41576382 49275712 55435176 73913568 83152764 110870352 147827136 166305528 221740704 332611056 443481408 665222112 1330444224