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1382448348 = 22323111091117
BaseRepresentation
bin101001001100110…
…0111110011011100
310120100022122121200
41102121213303130
510312401321343
6345102355500
746154421441
oct12231476334
93510278550
101382448348
1164a3a09a6
12326b8bb90
13190544898
14d18639c8
15815794d3
hex52667cdc

1382448348 has 72 divisors (see below), whose sum is σ = 3613733760. Its totient is φ = 445150080.

The previous prime is 1382448289. The next prime is 1382448367. The reversal of 1382448348 is 8438442831.

It is a happy number.

It is a super-2 number, since 2×13824483482 = 3822326869775858208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1237086 + ... + 1238202.

Almost surely, 21382448348 is an apocalyptic number.

1382448348 is a gapful number since it is divisible by the number (18) 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 1382448348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806866880).

1382448348 is an abundant number, since it is smaller than the sum of its proper divisors (2231285412).

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

1382448348 is a wasteful number, since it uses less digits than its factorization.

1382448348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2262 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 1382448348 is about 37181.2902949857. The cubic root of 1382448348 is about 1113.9943066944.

The spelling of 1382448348 in words is "one billion, three hundred eighty-two million, four hundred forty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1109 1116 1117 2218 2234 3327 3351 4436 4468 6654 6702 9981 10053 13308 13404 19962 20106 34379 34627 39924 40212 68758 69254 103137 103881 137516 138508 206274 207762 309411 311643 412548 415524 618822 623286 1237644 1238753 1246572 2477506 3716259 4955012 7432518 11148777 14865036 22297554 38401343 44595108 76802686 115204029 153605372 230408058 345612087 460816116 691224174 1382448348