[go: up one dir, main page]

Search a number
-
+
440324412 = 2231117317619
BaseRepresentation
bin11010001111101…
…101000100111100
31010200112210112120
4122033231010330
51400210340122
6111405402540
713624460433
oct3217550474
91120483476
10440324412
11206608280
12103569450
13702bc9b8
14426a011a
15289cb75c
hex1a3ed13c

440324412 has 96 divisors (see below), whose sum is σ = 1192423680. Its totient is φ = 124984320.

The previous prime is 440324407. The next prime is 440324431. The reversal of 440324412 is 214423044.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711039 + ... + 711657.

It is an arithmetic number, because the mean of its divisors is an integer number (12421080).

Almost surely, 2440324412 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 440324412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596211840).

440324412 is an abundant number, since it is smaller than the sum of its proper divisors (752099268).

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

440324412 is a wasteful number, since it uses less digits than its factorization.

440324412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 440324412 is about 20983.9084062050. The cubic root of 440324412 is about 760.7773740204. Note that the first 3 decimals are identical.

Adding to 440324412 its reverse (214423044), we get a palindrome (654747456).

The spelling of 440324412 in words is "four hundred forty million, three hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 317 374 561 619 634 748 951 1122 1238 1268 1857 1902 2244 2476 3487 3714 3804 5389 6809 6974 7428 10461 10523 10778 13618 13948 16167 20427 20922 21046 21556 27236 31569 32334 40854 41844 42092 59279 63138 64668 81708 115753 118558 126276 177837 196223 231506 237116 347259 355674 392446 463012 588669 694518 711348 784892 1177338 1389036 2158453 2354676 3335791 4316906 6475359 6671582 8633812 10007373 12950718 13343164 20014746 25901436 36693701 40029492 73387402 110081103 146774804 220162206 440324412