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4289934312 = 233461108529
BaseRepresentation
bin1111111110110011…
…0011001111101000
3102001222021020120000
43333230303033220
532241210344222
61545404103000
7211210561056
oct37754631750
912058236500
104289934312
111901613164
129b8834a60
13534a06a91
142c9a671d6
151a19469ac
hexffb333e8

4289934312 has 80 divisors (see below), whose sum is σ = 12212880900. Its totient is φ = 1406522880.

The previous prime is 4289934307. The next prime is 4289934317. The reversal of 4289934312 is 2134399824.

It is an interprime number because it is at equal distance from previous prime (4289934307) and next prime (4289934317).

It can be written as a sum of positive squares in 2 ways, for example, as 4285797156 + 4137156 = 65466^2 + 2034^2 .

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 (4289934317) 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, 14737 + ... + 93792.

Almost surely, 24289934312 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 4289934312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106440450).

4289934312 is an abundant number, since it is smaller than the sum of its proper divisors (7922946588).

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

4289934312 is a wasteful number, since it uses less digits than its factorization.

4289934312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108608 (or 108595 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 4289934312 is about 65497.5901236068. The cubic root of 4289934312 is about 1624.8634914283.

The spelling of 4289934312 in words is "four billion, two hundred eighty-nine million, nine hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2196 3294 4392 4941 6588 9882 13176 19764 39528 108529 217058 325587 434116 651174 868232 976761 1302348 1953522 2604696 2930283 3907044 5860566 6620269 7814088 8790849 11721132 13240538 17581698 19860807 23442264 26481076 35163396 39721614 52962152 59582421 70326792 79443228 119164842 158886456 178747263 238329684 357494526 476659368 536241789 714989052 1072483578 1429978104 2144967156 4289934312