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1041209344 = 2117591231
BaseRepresentation
bin111110000011111…
…001100000000000
32200120012220201001
4332003321200000
54113022144334
6251152421344
734542063520
oct7603714000
92616186631
101041209344
1149480aa9a
12250847854
13137938306
149c3d7680
1561621714
hex3e0f9800

1041209344 has 96 divisors (see below), whose sum is σ = 2421619200. Its totient is φ = 438312960.

The previous prime is 1041209339. The next prime is 1041209357. The reversal of 1041209344 is 4439021401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845209 + ... + 846439.

It is an arithmetic number, because the mean of its divisors is an integer number (25225200).

Almost surely, 21041209344 is an apocalyptic number.

1041209344 is a gapful number since it is divisible by the number (14) 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 1041209344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210809600).

1041209344 is an abundant number, since it is smaller than the sum of its proper divisors (1380409856).

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

1041209344 is an equidigital number, since it uses as much as digits as its factorization.

1041209344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1041209344 is about 32267.7756283262. The cubic root of 1041209344 is about 1013.5519626759.

The spelling of 1041209344 in words is "one billion, forty-one million, two hundred nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 256 413 448 472 512 826 896 944 1024 1231 1652 1792 1888 2048 2462 3304 3584 3776 4924 6608 7168 7552 8617 9848 13216 14336 15104 17234 19696 26432 30208 34468 39392 52864 60416 68936 72629 78784 105728 120832 137872 145258 157568 211456 275744 290516 315136 422912 508403 551488 581032 630272 845824 1016806 1102976 1162064 1260544 2033612 2205952 2324128 2521088 4067224 4411904 4648256 8134448 8823808 9296512 16268896 17647616 18593024 32537792 37186048 65075584 74372096 130151168 148744192 260302336 520604672 1041209344