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3442234240 = 2756198689
BaseRepresentation
bin1100110100101100…
…0101001110000000
322212220011121200001
43031023011032000
524022202443430
61325323005344
7151205336224
oct31513051600
98786147601
103442234240
111507062595
12800969854
1342b1c25c3
14249242784
151522eb3ca
hexcd2c5380

3442234240 has 64 divisors (see below), whose sum is σ = 8243334000. Its totient is φ = 1374511104.

The previous prime is 3442234231. The next prime is 3442234241. The reversal of 3442234240 is 424322443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3442234199 and 3442234208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442234241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391816 + ... + 400504.

Almost surely, 23442234240 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 3442234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121667000).

3442234240 is an abundant number, since it is smaller than the sum of its proper divisors (4801099760).

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

3442234240 is an equidigital number, since it uses as much as digits as its factorization.

3442234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9327 (or 9315 counting only the distinct ones).

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

The square root of 3442234240 is about 58670.5568407187. The cubic root of 3442234240 is about 1509.8952078499.

Adding to 3442234240 its reverse (424322443), we get a palindrome (3866556683).

The spelling of 3442234240 in words is "three billion, four hundred forty-two million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 619 640 1238 2476 3095 4952 6190 8689 9904 12380 17378 19808 24760 34756 39616 43445 49520 69512 79232 86890 99040 139024 173780 198080 278048 347560 396160 556096 695120 1112192 1390240 2780480 5378491 5560960 10756982 21513964 26892455 43027928 53784910 86055856 107569820 172111712 215139640 344223424 430279280 688446848 860558560 1721117120 3442234240