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3422443240 = 235239738351
BaseRepresentation
bin1100101111111110…
…0101011011101000
322211111221010112001
43023333211123220
524002121140430
61323334500344
7150545200426
oct31377453350
98744833461
103422443240
1114a6975297
127b62046b4
13427083358
14246770116
151506dc3ca
hexcbfe56e8

3422443240 has 64 divisors (see below), whose sum is σ = 8118351360. Its totient is φ = 1295923200.

The previous prime is 3422443231. The next prime is 3422443249. The reversal of 3422443240 is 423442243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3422443231) and next prime (3422443249).

It is a super-3 number, since 3×34224432403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3422443199 and 3422443208.

It is not an unprimeable number, because it can be changed into a prime (3422443249) 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, 70065 + ... + 108415.

It is an arithmetic number, because the mean of its divisors is an integer number (126849240).

Almost surely, 23422443240 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 3422443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059175680).

3422443240 is an abundant number, since it is smaller than the sum of its proper divisors (4695908120).

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

3422443240 is a wasteful number, since it uses less digits than its factorization.

3422443240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38482 (or 38478 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 3422443240 is about 58501.6516006172. The cubic root of 3422443240 is about 1506.9959485574.

Adding to 3422443240 its reverse (423442243), we get a palindrome (3845885483).

The spelling of 3422443240 in words is "three billion, four hundred twenty-two million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 97 115 184 194 230 388 460 485 776 920 970 1940 2231 3880 4462 8924 11155 17848 22310 38351 44620 76702 89240 153404 191755 306808 383510 767020 882073 1534040 1764146 3528292 3720047 4410365 7056584 7440094 8820730 14880188 17641460 18600235 29760376 35282920 37200470 74400940 85561081 148801880 171122162 342244324 427805405 684488648 855610810 1711221620 3422443240