Search a number
-
+
444044328 = 233713203317
BaseRepresentation
bin11010011101111…
…001010000101000
31010221112210022020
4122131321100220
51402133404303
6112021224440
714001212610
oct3235712050
91127483266
10444044328
11208719092
12104862120
1370cc2c30
1442d8ba40
1528eb3a53
hex1a779428

444044328 has 64 divisors (see below), whose sum is σ = 1366296960. Its totient is φ = 117110016.

The previous prime is 444044323. The next prime is 444044333. The reversal of 444044328 is 823440444.

It is an interprime number because it is at equal distance from previous prime (444044323) and next prime (444044333).

It is not an unprimeable number, because it can be changed into a prime (444044323) 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, 99475 + ... + 103842.

It is an arithmetic number, because the mean of its divisors is an integer number (21348390).

Almost surely, 2444044328 is an apocalyptic number.

It is an amenable number.

444044328 is an abundant number, since it is smaller than the sum of its proper divisors (922252632).

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

444044328 is a wasteful number, since it uses less digits than its factorization.

444044328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203346 (or 203342 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The square root of 444044328 is about 21072.3593363439. The cubic root of 444044328 is about 762.9137501153.

The spelling of 444044328 in words is "four hundred forty-four million, forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 203317 406634 609951 813268 1219902 1423219 1626536 2439804 2643121 2846438 4269657 4879608 5286242 5692876 7929363 8539314 10572484 11385752 15858726 17078628 18501847 21144968 31717452 34157256 37003694 55505541 63434904 74007388 111011082 148014776 222022164 444044328