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4444232340 = 2235647311443
BaseRepresentation
bin1000010001110010…
…11001101010010100
3102110201121101122210
410020321121222110
533100210413330
62012555153420
7215063231412
oct41071315224
912421541583
104444232340
111980720599
12a40445870
1355a97c0a2
143023502b2
151b02748b0
hex108e59a94

4444232340 has 48 divisors (see below), whose sum is σ = 12446860608. Its totient is φ = 1184841984.

The previous prime is 4444232263. The next prime is 4444232347. The reversal of 4444232340 is 432324444.

It is a super-3 number, since 3×44442323403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4444232298 and 4444232307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444232347) 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, 382659 + ... + 394101.

It is an arithmetic number, because the mean of its divisors is an integer number (259309596).

Almost surely, 24444232340 is an apocalyptic number.

It is an amenable number.

4444232340 is an abundant number, since it is smaller than the sum of its proper divisors (8002628268).

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

4444232340 is a wasteful number, since it uses less digits than its factorization.

4444232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17928 (or 17926 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 4444232340 is about 66665.0758643534. The cubic root of 4444232340 is about 1644.1152277438.

Adding to 4444232340 its reverse (432324444), we get a palindrome (4876556784).

The spelling of 4444232340 in words is "four billion, four hundred forty-four million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6473 11443 12946 19419 22886 25892 32365 34329 38838 45772 57215 64730 68658 77676 97095 114430 129460 137316 171645 194190 228860 343290 388380 686580 74070539 148141078 222211617 296282156 370352695 444423234 740705390 888846468 1111058085 1481410780 2222116170 4444232340