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1344448332 = 2232177130941
BaseRepresentation
bin101000000100010…
…1010011101001100
310110200211001101200
41100020222131030
510223134321312
6341224105500
745213423303
oct12010523514
93420731350
101344448332
1162a9a6a27
12316305290
131856cb476
14ca7b143a
157d0700dc
hex5022a74c

1344448332 has 72 divisors (see below), whose sum is σ = 3649175712. Its totient is φ = 415833600.

The previous prime is 1344448327. The next prime is 1344448387. The reversal of 1344448332 is 2338444431.

1344448332 is a `hidden beast` number, since 134 + 44 + 483 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27982 + ... + 58922.

It is an arithmetic number, because the mean of its divisors is an integer number (50682996).

Almost surely, 21344448332 is an apocalyptic number.

1344448332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344448332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824587856).

1344448332 is an abundant number, since it is smaller than the sum of its proper divisors (2304727380).

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

1344448332 is a wasteful number, since it uses less digits than its factorization.

1344448332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31039 (or 31034 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 1344448332 is about 36666.7196787496. The cubic root of 1344448332 is about 1103.6923666321.

It can be divided in two parts, 13444 and 48332, that added together give a triangular number (61776 = T351).

The spelling of 1344448332 in words is "one billion, three hundred forty-four million, four hundred forty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 204 213 284 306 426 612 639 852 1207 1278 2414 2556 3621 4828 7242 10863 14484 21726 30941 43452 61882 92823 123764 185646 278469 371292 525997 556938 1051994 1113876 1577991 2103988 2196811 3155982 4393622 4733973 6311964 6590433 8787244 9467946 13180866 18935892 19771299 26361732 37345787 39542598 74691574 79085196 112037361 149383148 224074722 336112083 448149444 672224166 1344448332