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1244430040 = 23578949937
BaseRepresentation
bin100101000101100…
…0111111011011000
310012201121121002111
41022023013323120
510022033230130
6323252242104
742560323630
oct11213077330
93181547074
101244430040
115894a2787
122a8910334
1316aa7c549
14bb3b76c0
15743b502a
hex4a2c7ed8

1244430040 has 64 divisors (see below), whose sum is σ = 3235982400. Its totient is φ = 421859328.

The previous prime is 1244429987. The next prime is 1244430053. The reversal of 1244430040 is 400344421.

It is a super-2 number, since 2×12444300402 = 3097212248908803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1244429993 and 1244430020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49 + ... + 49888.

It is an arithmetic number, because the mean of its divisors is an integer number (50562225).

Almost surely, 21244430040 is an apocalyptic number.

1244430040 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 1244430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617991200).

1244430040 is an abundant number, since it is smaller than the sum of its proper divisors (1991552360).

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

1244430040 is a wasteful number, since it uses less digits than its factorization.

1244430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50044 (or 50040 counting only the distinct ones).

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

The square root of 1244430040 is about 35276.4799831276. The cubic root of 1244430040 is about 1075.6149472367.

Adding to 1244430040 its reverse (400344421), we get a palindrome (1644774461).

The spelling of 1244430040 in words is "one billion, two hundred forty-four million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 6230 12460 24920 49937 99874 199748 249685 349559 399496 499370 699118 998740 1398236 1747795 1997480 2796472 3495590 4444393 6991180 8888786 13982360 17777572 22221965 31110751 35555144 44443930 62221502 88887860 124443004 155553755 177775720 248886008 311107510 622215020 1244430040