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234199296 = 2833311093
BaseRepresentation
bin11011111010110…
…01100100000000
3121022200120001000
431331121210000
5434423334141
635123412000
75542442532
oct1575314400
9538616030
10234199296
11110221441
1266524000
133969c786
1423165852
15158625b6
hexdf59900

234199296 has 144 divisors (see below), whose sum is σ = 715563520. Its totient is φ = 75479040.

The previous prime is 234199291. The next prime is 234199321. The reversal of 234199296 is 692991432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (234199291) by changing a digit.

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, 213726 + ... + 214818.

Almost surely, 2234199296 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 234199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357781760).

234199296 is an abundant number, since it is smaller than the sum of its proper divisors (481364224).

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

234199296 is a wasteful number, since it uses less digits than its factorization.

234199296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1129 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 234199296 is about 15303.5713478913. The cubic root of 234199296 is about 616.3989095499.

The spelling of 234199296 in words is "two hundred thirty-four million, one hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1093 1116 1152 1488 1674 1728 1984 2186 2232 2304 2976 3279 3348 3456 3968 4372 4464 5952 6558 6696 6912 7936 8744 8928 9837 11904 13116 13392 17488 17856 19674 23808 26232 26784 29511 33883 34976 35712 39348 52464 53568 59022 67766 69952 71424 78696 101649 104928 107136 118044 135532 139904 157392 203298 209856 214272 236088 271064 279808 304947 314784 406596 419712 472176 542128 609894 629568 813192 839424 914841 944352 1084256 1219788 1259136 1626384 1829682 1888704 2168512 2439576 2518272 3252768 3659364 3777408 4337024 4879152 6505536 7318728 7554816 8674048 9758304 13011072 14637456 19516608 26022144 29274912 39033216 58549824 78066432 117099648 234199296