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1040440324 = 2272111728387
BaseRepresentation
bin111110000000111…
…101110000000100
32200111202211210211
4332000331300010
54112323042244
6251124125204
734532411500
oct7600756004
92614684724
101040440324
11494335240
12250536804
13137729281
149c277300
156151d934
hex3e03dc04

1040440324 has 72 divisors (see below), whose sum is σ = 2446591392. Its totient is φ = 381507840.

The previous prime is 1040440301. The next prime is 1040440343. The reversal of 1040440324 is 4230440401.

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 = 1040440295 and 1040440304.

It is an unprimeable number.

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, 22459 + ... + 50845.

It is an arithmetic number, because the mean of its divisors is an integer number (33980436).

Almost surely, 21040440324 is an apocalyptic number.

1040440324 is a gapful number since it is divisible by the number (14) 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 1040440324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223295696).

1040440324 is an abundant number, since it is smaller than the sum of its proper divisors (1406151068).

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

1040440324 is a wasteful number, since it uses less digits than its factorization.

1040440324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28433 (or 28424 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1040440324 is about 32255.8572045450. The cubic root of 1040440324 is about 1013.3023703124.

Adding to 1040440324 its reverse (4230440401), we get a palindrome (5270880725).

The spelling of 1040440324 in words is "one billion, forty million, four hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 119 154 187 196 238 308 374 476 539 748 833 1078 1309 1666 2156 2618 3332 5236 9163 18326 28387 36652 56774 113548 198709 312257 397418 482579 624514 794836 965158 1249028 1390963 1930316 2185799 2781926 3378053 4371598 5308369 5563852 6756106 8743196 10616738 13512212 15300593 21233476 23646371 30601186 37158583 47292742 61202372 74317166 94585484 148634332 260110081 520220162 1040440324