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3422442312 = 233217892353
BaseRepresentation
bin1100101111111110…
…0101001101001000
322211111221002020200
43023333211031020
524002121123222
61323334452200
7150545164632
oct31377451510
98744832220
103422442312
1114a6974623
127b6204060
13427082ac3
1424676da52
151506dbeac
hexcbfe5348

3422442312 has 144 divisors (see below), whose sum is σ = 9953987940. Its totient is φ = 1058635776.

The previous prime is 3422442311. The next prime is 3422442313. The reversal of 3422442312 is 2132442243.

3422442312 is a `hidden beast` number, since 3 + 4 + 224 + 423 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (3422442311) and next prime (3422442313).

It can be written as a sum of positive squares in 6 ways, for example, as 947777796 + 2474664516 = 30786^2 + 49746^2 .

It is a super-2 number, since 2×34224423122 = 23426222757935810688, which contains 22 as substring.

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 (3422442311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9695128 + ... + 9695480.

Almost surely, 23422442312 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 3422442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976993970).

3422442312 is an abundant number, since it is smaller than the sum of its proper divisors (6531545628).

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

3422442312 is a wasteful number, since it uses less digits than its factorization.

3422442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 464 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 3422442312 is about 58501.6436692167. The cubic root of 3422442312 is about 1506.9958123494.

Adding to 3422442312 its reverse (2132442243), we get a palindrome (5554884555).

The spelling of 3422442312 in words is "three billion, four hundred twenty-two million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 89 102 136 153 178 204 267 306 353 356 408 534 612 706 712 801 1059 1068 1224 1412 1513 1602 2118 2136 2824 3026 3177 3204 4236 4539 6001 6052 6354 6408 7921 8472 9078 12002 12104 12708 13617 15842 18003 18156 23763 24004 25416 27234 31417 31684 36006 36312 47526 48008 54009 54468 62834 63368 71289 72012 94251 95052 108018 108936 125668 134657 142578 144024 188502 190104 216036 251336 269314 282753 285156 377004 403971 432072 534089 538628 565506 570312 754008 807942 1068178 1077256 1131012 1211913 1602267 1615884 2136356 2262024 2423826 2796113 3204534 3231768 4272712 4806801 4847652 5592226 6409068 8388339 9613602 9695304 11184452 12818136 16776678 19227204 22368904 25165017 33553356 38454408 47533921 50330034 67106712 95067842 100660068 142601763 190135684 201320136 285203526 380271368 427805289 570407052 855610578 1140814104 1711221156 3422442312