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1000440402 = 2313194753271
BaseRepresentation
bin111011101000011…
…000001001010010
32120201111122020020
4323220120021102
54022103043102
6243134524310
733535413603
oct7350301122
92521448206
101000440402
114737a4755
1223b066696
1312c362790
1496c23daa
155cc6bbbc
hex3ba18252

1000440402 has 128 divisors (see below), whose sum is σ = 2368880640. Its totient is φ = 279002880.

The previous prime is 1000440391. The next prime is 1000440439. The reversal of 1000440402 is 2040440001.

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 63 ways as a sum of consecutive naturals, for example, 3691527 + ... + 3691797.

It is an arithmetic number, because the mean of its divisors is an integer number (18506880).

Almost surely, 21000440402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000440402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184440320).

1000440402 is an abundant number, since it is smaller than the sum of its proper divisors (1368440238).

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

1000440402 is a wasteful number, since it uses less digits than its factorization.

1000440402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1000440402 is about 31629.7392022128. The cubic root of 1000440402 is about 1000.1467791215.

Adding to 1000440402 its reverse (2040440001), we get a palindrome (3040880403).

The spelling of 1000440402 in words is "one billion, four hundred forty thousand, four hundred two".

Divisors: 1 2 3 6 13 19 26 38 39 47 53 57 78 94 106 114 141 159 247 271 282 318 494 542 611 689 741 813 893 1007 1222 1378 1482 1626 1786 1833 2014 2067 2491 2679 3021 3523 3666 4134 4982 5149 5358 6042 7046 7473 10298 10569 11609 12737 13091 14363 14946 15447 21138 23218 25474 26182 28726 30894 32383 34827 38211 39273 43089 47329 64766 66937 69654 76422 78546 86178 94658 97149 133874 141987 165581 186719 194298 200811 242003 272897 283974 331162 373438 401622 484006 496743 545794 560157 615277 675061 726009 818691 993486 1120314 1230554 1350122 1452018 1637382 1845831 2025183 3146039 3547661 3691662 4050366 6292078 7095322 8775793 9438117 10642983 12826159 17551586 18876234 21285966 25652318 26327379 38478477 52654758 76956954 166740067 333480134 500220201 1000440402