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1000440324 = 22321310632011
BaseRepresentation
bin111011101000011…
…000001000000100
32120201111122010100
4323220120020010
54022103042244
6243134524100
733535413432
oct7350301004
92521448110
101000440324
114737a4694
1223b066630
1312c362730
1496c23d52
155cc6bb69
hex3ba18204

1000440324 has 72 divisors (see below), whose sum is σ = 2727338432. Its totient is φ = 307385280.

The previous prime is 1000440313. The next prime is 1000440359. The reversal of 1000440324 is 4230440001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1000440297 and 1000440306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496479 + ... + 498489.

Almost surely, 21000440324 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 1000440324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363669216).

1000440324 is an abundant number, since it is smaller than the sum of its proper divisors (1726898108).

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

1000440324 is a wasteful number, since it uses less digits than its factorization.

1000440324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1000440324 is about 31629.7379691960. The cubic root of 1000440324 is about 1000.1467531291.

Adding to 1000440324 its reverse (4230440001), we get a palindrome (5230880325).

The spelling of 1000440324 in words is "one billion, four hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1063 2011 2126 3189 4022 4252 6033 6378 8044 9567 12066 12756 13819 18099 19134 24132 26143 27638 36198 38268 41457 52286 55276 72396 78429 82914 104572 124371 156858 165828 235287 248742 313716 470574 497484 941148 2137693 4275386 6413079 8550772 12826158 19239237 25652316 27790009 38478474 55580018 76956948 83370027 111160036 166740054 250110081 333480108 500220162 1000440324