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1074341088 = 253210336217
BaseRepresentation
bin100000000001001…
…0010010011100000
32202212120011220200
41000002102103200
54200012403323
6254334505200
735423514522
oct10002222340
92685504820
101074341088
1150148a3a7
1225b965200
131417688b2
14a297da12
15644b8443
hex400924e0

1074341088 has 72 divisors (see below), whose sum is σ = 3084904368. Its totient is φ = 354627072.

The previous prime is 1074341069. The next prime is 1074341113. The reversal of 1074341088 is 8801434701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11556 + ... + 47772.

It is an arithmetic number, because the mean of its divisors is an integer number (42845894).

Almost surely, 21074341088 is an apocalyptic number.

1074341088 is a gapful number since it is divisible by the number (18) 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 1074341088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542452184).

1074341088 is an abundant number, since it is smaller than the sum of its proper divisors (2010563280).

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

1074341088 is a wasteful number, since it uses less digits than its factorization.

1074341088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36336 (or 36325 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1074341088 is about 32777.1427674836. The cubic root of 1074341088 is about 1024.1904654661.

Adding to 1074341088 its reverse (8801434701), we get a palindrome (9875775789).

The spelling of 1074341088 in words is "one billion, seventy-four million, three hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 14832 29664 36217 72434 108651 144868 217302 289736 325953 434604 579472 651906 869208 1158944 1303812 1738416 2607624 3476832 3730351 5215248 7460702 10430496 11191053 14921404 22382106 29842808 33573159 44764212 59685616 67146318 89528424 119371232 134292636 179056848 268585272 358113696 537170544 1074341088