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381332448 = 2534721017
BaseRepresentation
bin10110101110101…
…010101111100000
3222120112200210000
4112232222233200
51240110114243
6101501140000
712310162260
oct2656525740
9876480700
10381332448
11186285792
12a785a600
1361006803
14389057a0
15237275d3
hex16baabe0

381332448 has 120 divisors (see below), whose sum is σ = 1281761712. Its totient is φ = 108946944.

The previous prime is 381332437. The next prime is 381332449. The reversal of 381332448 is 844233183.

It is a happy number.

381332448 is a `hidden beast` number, since 381 + 33 + 244 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381332449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7636 + ... + 28652.

Almost surely, 2381332448 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 381332448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640880856).

381332448 is an abundant number, since it is smaller than the sum of its proper divisors (900429264).

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

381332448 is a wasteful number, since it uses less digits than its factorization.

381332448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21046 (or 21029 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 381332448 is about 19527.7353525697. The cubic root of 381332448 is about 725.1612470516.

The spelling of 381332448 in words is "three hundred eighty-one million, three hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 21017 42034 63051 84068 126102 147119 168136 189153 252204 294238 336272 378306 441357 504408 567459 588476 672544 756612 882714 1008816 1134918 1176952 1324071 1513224 1702377 1765428 2017632 2269836 2353904 2648142 3026448 3404754 3530856 3972213 4539672 4707808 5296284 6052896 6809508 7061712 7944426 9079344 10592568 11916639 13619016 14123424 15888852 18158688 21185136 23833278 27238032 31777704 42370272 47666556 54476064 63555408 95333112 127110816 190666224 381332448