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3402243024 = 243596591823
BaseRepresentation
bin1100101011001010…
…0001101111010000
322210002220212000220
43022302201233100
523431433234044
61321333513040
7150211405605
oct31262415720
98702825026
103402243024
1114965285a4
127ab4a2780
13422b2ca6b
14243bd26ac
1514da4c019
hexcaca1bd0

3402243024 has 80 divisors (see below), whose sum is σ = 8956569600. Its totient is φ = 1112556928.

The previous prime is 3402243011. The next prime is 3402243029. The reversal of 3402243024 is 4203422043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3402242985 and 3402243003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402243029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1865377 + ... + 1867199.

It is an arithmetic number, because the mean of its divisors is an integer number (111957120).

Almost surely, 23402243024 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 3402243024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478284800).

3402243024 is an abundant number, since it is smaller than the sum of its proper divisors (5554326576).

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

3402243024 is a wasteful number, since it uses less digits than its factorization.

3402243024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3402243024 is about 58328.7495494289. The cubic root of 3402243024 is about 1504.0251924443.

Adding to 3402243024 its reverse (4203422043), we get a palindrome (7605665067).

The spelling of 3402243024 in words is "three billion, four hundred two million, two hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 659 708 944 1318 1416 1823 1977 2636 2832 3646 3954 5272 5469 7292 7908 10544 10938 14584 15816 21876 29168 31632 38881 43752 77762 87504 107557 116643 155524 215114 233286 311048 322671 430228 466572 622096 645342 860456 933144 1201357 1290684 1720912 1866288 2402714 2581368 3604071 4805428 5162736 7208142 9610856 14416284 19221712 28832568 57665136 70880063 141760126 212640189 283520252 425280378 567040504 850560756 1134081008 1701121512 3402243024