Search a number
-
+
3362451064 = 23747592367
BaseRepresentation
bin1100100001101010…
…1110111001111000
322200100001012201121
43020122232321320
523341241413224
61313352555024
7146216235220
oct31032567170
98610035647
103362451064
11147601a285
1279a0b2a74
13417809b1b
1423c7d5080
1514a2dbbe4
hexc86aee78

3362451064 has 96 divisors (see below), whose sum is σ = 7505786880. Its totient is φ = 1382707008.

The previous prime is 3362451047. The next prime is 3362451067. The reversal of 3362451064 is 4601542633.

It is a super-2 number, since 2×33624510642 = 22612154315589464192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362451067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9161809 + ... + 9162175.

It is an arithmetic number, because the mean of its divisors is an integer number (78185280).

Almost surely, 23362451064 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 3362451064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752893440).

3362451064 is an abundant number, since it is smaller than the sum of its proper divisors (4143335816).

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

3362451064 is a wasteful number, since it uses less digits than its factorization.

3362451064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 3362451064 is about 57986.6455660267. The cubic root of 3362451064 is about 1498.1385894263.

Adding to 3362451064 its reverse (4601542633), we get a palindrome (7963993697).

The spelling of 3362451064 in words is "three billion, three hundred sixty-two million, four hundred fifty-one thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 47 56 59 94 118 188 236 329 367 376 413 472 658 734 826 1316 1468 1652 2569 2632 2773 2936 3304 3481 5138 5546 6962 10276 11092 13924 17249 19411 20552 21653 22184 24367 27848 34498 38822 43306 48734 68996 77644 86612 97468 120743 137992 151571 155288 163607 173224 194936 241486 303142 327214 482972 606284 654428 965944 1017691 1145249 1212568 1277527 1308856 2035382 2290498 2555054 4070764 4580996 5110108 7123837 8141528 8942689 9161992 10220216 14247674 17885378 28495348 35770756 56990696 60043769 71541512 120087538 240175076 420306383 480350152 840612766 1681225532 3362451064