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121034304 = 263389787
BaseRepresentation
bin1110011011011…
…01011001000000
322102202011212000
413031231121000
5221441044204
620002104000
72666526456
oct715553100
9272664760
10121034304
1162358956
123464b000
131c0c9941
14121089d6
15a95c039
hex736d640

121034304 has 112 divisors (see below), whose sum is σ = 360273600. Its totient is φ = 39840768.

The previous prime is 121034279. The next prime is 121034327. The reversal of 121034304 is 403430121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153399 + ... + 154185.

Almost surely, 2121034304 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 121034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180136800).

121034304 is an abundant number, since it is smaller than the sum of its proper divisors (239239296).

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

121034304 is an equidigital number, since it uses as much as digits as its factorization.

121034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 121034304 is about 11001.5591622279. The cubic root of 121034304 is about 494.6554811161.

Adding to 121034304 its reverse (403430121), we get a palindrome (524464425).

The spelling of 121034304 in words is "one hundred twenty-one million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 144 178 192 216 267 288 356 432 534 576 712 787 801 864 1068 1424 1574 1602 1728 2136 2361 2403 2848 3148 3204 4272 4722 4806 5696 6296 6408 7083 8544 9444 9612 12592 12816 14166 17088 18888 19224 21249 25184 25632 28332 37776 38448 42498 50368 51264 56664 70043 75552 76896 84996 113328 140086 151104 153792 169992 210129 226656 280172 339984 420258 453312 560344 630387 679968 840516 1120688 1260774 1359936 1681032 1891161 2241376 2521548 3362064 3782322 4482752 5043096 6724128 7564644 10086192 13448256 15129288 20172384 30258576 40344768 60517152 121034304