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3441422440 = 2354316711981
BaseRepresentation
bin1100110100011111…
…1111000001101000
322212211122101002101
43031013333001220
524022001004230
61325253343144
7151165415401
oct31507770150
98784571071
103441422440
111506658685
12800637ab4
1342ac99c51
142490b09a8
151521daaca
hexcd1ff068

3441422440 has 64 divisors (see below), whose sum is σ = 7971384960. Its totient is φ = 1336392960.

The previous prime is 3441422393. The next prime is 3441422441. The reversal of 3441422440 is 442241443.

It is a junction number, because it is equal to n+sod(n) for n = 3441422399 and 3441422408.

It is not an unprimeable number, because it can be changed into a prime (3441422441) 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 15 ways as a sum of consecutive naturals, for example, 281250 + ... + 293230.

It is an arithmetic number, because the mean of its divisors is an integer number (124552890).

Almost surely, 23441422440 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 3441422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985692480).

3441422440 is an abundant number, since it is smaller than the sum of its proper divisors (4529962520).

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

3441422440 is a wasteful number, since it uses less digits than its factorization.

3441422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 3441422440 is about 58663.6381415268. The cubic root of 3441422440 is about 1509.7765030384.

Adding to 3441422440 its reverse (442241443), we get a palindrome (3883663883).

The spelling of 3441422440 in words is "three billion, four hundred forty-one million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 167 172 215 334 344 430 668 835 860 1336 1670 1720 3340 6680 7181 11981 14362 23962 28724 35905 47924 57448 59905 71810 95848 119810 143620 239620 287240 479240 515183 1030366 2000827 2060732 2575915 4001654 4121464 5151830 8003308 10004135 10303660 16006616 20008270 20607320 40016540 80033080 86035561 172071122 344142244 430177805 688284488 860355610 1720711220 3441422440