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1106426304 = 2634534027
BaseRepresentation
bin100000111110010…
…1011100111000000
32212002221021120000
41001330223213000
54231221120204
6301442320000
736263316444
oct10174534700
92762837500
101106426304
11518604505
1226a659000
131482c0a29
14a6d32824
1567205039
hex41f2b9c0

1106426304 has 140 divisors (see below), whose sum is σ = 3342506904. Its totient is φ = 361760256.

The previous prime is 1106426303. The next prime is 1106426333. The reversal of 1106426304 is 4036246011.

1106426304 is a `hidden beast` number, since 1 + 10 + 642 + 6 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106426303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 272739 + ... + 276765.

Almost surely, 21106426304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671253452).

1106426304 is an abundant number, since it is smaller than the sum of its proper divisors (2236080600).

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

1106426304 is an equidigital number, since it uses as much as digits as its factorization.

1106426304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1106426304 is about 33262.9869975623. The cubic root of 1106426304 is about 1034.2864394797.

The spelling of 1106426304 in words is "one billion, one hundred six million, four hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 144 159 162 192 212 216 288 318 324 424 432 477 576 636 648 848 864 954 1272 1296 1431 1696 1728 1908 2544 2592 2862 3392 3816 4027 4293 5088 5184 5724 7632 8054 8586 10176 11448 12081 15264 16108 17172 22896 24162 30528 32216 34344 36243 45792 48324 64432 68688 72486 91584 96648 108729 128864 137376 144972 193296 213431 217458 257728 274752 289944 326187 386592 426862 434916 579888 640293 652374 773184 853724 869832 1159776 1280586 1304748 1707448 1739664 1920879 2319552 2561172 2609496 3414896 3479328 3841758 5122344 5218992 5762637 6829792 6958656 7683516 10244688 10437984 11525274 13659584 15367032 17287911 20489376 20875968 23050548 30734064 34575822 40978752 46101096 61468128 69151644 92202192 122936256 138303288 184404384 276606576 368808768 553213152 1106426304