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3424334032 = 247216692617
BaseRepresentation
bin1100110000011011…
…0011000011010000
322211122111012012101
43030012303003100
524003112142112
61323443210144
7150600234100
oct31406630320
98748435171
103424334032
1114a7a46929
127b6976954
13427595b72
14246b03200
15150962757
hexcc1b30d0

3424334032 has 60 divisors (see below), whose sum is σ = 7725430020. Its totient is φ = 1466131968.

The previous prime is 3424334029. The next prime is 3424334051. The reversal of 3424334032 is 2304334243.

It can be written as a sum of positive squares in 2 ways, for example, as 2765077056 + 659256976 = 52584^2 + 25676^2 .

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1307188 + ... + 1309804.

It is an arithmetic number, because the mean of its divisors is an integer number (128757167).

Almost surely, 23424334032 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 3424334032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862715010).

3424334032 is an abundant number, since it is smaller than the sum of its proper divisors (4301095988).

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

3424334032 is a wasteful number, since it uses less digits than its factorization.

3424334032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

The square root of 3424334032 is about 58517.8095283820. The cubic root of 3424334032 is about 1507.2734200504.

Adding to 3424334032 its reverse (2304334243), we get a palindrome (5728668275).

The spelling of 3424334032 in words is "three billion, four hundred twenty-four million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1669 2617 3338 5234 6676 10468 11683 13352 18319 20936 23366 26704 36638 41872 46732 73276 81781 93464 128233 146552 163562 186928 256466 293104 327124 512932 654248 1025864 1308496 2051728 4367773 8735546 17471092 30574411 34942184 61148822 69884368 122297644 214020877 244595288 428041754 489190576 856083508 1712167016 3424334032