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1000234440 = 2333517157347
BaseRepresentation
bin111011100111100…
…101110111001000
32120201010011201000
4323213211313020
54022030000230
6243130255000
733533565252
oct7347456710
92521104630
101000234440
11473673a37
1223ab87460
1312c2bcaca
1496baccd2
155cc2ab60
hex3b9e5dc8

1000234440 has 256 divisors, whose sum is σ = 3562963200. Its totient is φ = 248721408.

The previous prime is 1000234429. The next prime is 1000234453. The reversal of 1000234440 is 444320001.

It is a super-2 number, since 2×10002344402 = 2000937869924227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2882347 + ... + 2882693.

It is an arithmetic number, because the mean of its divisors is an integer number (13917825).

Almost surely, 21000234440 is an apocalyptic number.

1000234440 is a gapful number since it is divisible by the number (10) 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 1000234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781481600).

1000234440 is an abundant number, since it is smaller than the sum of its proper divisors (2562728760).

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

1000234440 is a wasteful number, since it uses less digits than its factorization.

1000234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

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

The square root of 1000234440 is about 31626.4832063257. The cubic root of 1000234440 is about 1000.0781405606.

Adding to 1000234440 its reverse (444320001), we get a palindrome (1444554441).

The spelling of 1000234440 in words is "one billion, two hundred thirty-four thousand, four hundred forty".