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2381384448 = 283538281
BaseRepresentation
bin1000110111110001…
…0000101100000000
320010221222212100000
42031330100230000
514334113300243
61032145200000
7113004301542
oct21574205400
96127885300
102381384448
111012258423
12565630000
132bc49b731
141883b5692
15de0ea5d3
hex8df10b00

2381384448 has 108 divisors (see below), whose sum is σ = 7120605128. Its totient is φ = 793774080.

The previous prime is 2381384377. The next prime is 2381384449. The reversal of 2381384448 is 8444831832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is not an unprimeable number, because it can be changed into a prime (2381384449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43068 + ... + 81348.

Almost surely, 22381384448 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 2381384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560302564).

2381384448 is an abundant number, since it is smaller than the sum of its proper divisors (4739220680).

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

2381384448 is an frugal number, since it uses more digits than its factorization.

2381384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38312 (or 38286 counting only the distinct ones).

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

The square root of 2381384448 is about 48799.4308163528. The cubic root of 2381384448 is about 1335.3952825193.

It can be divided in two parts, 2381384 and 448, that added together give a palindrome (2381832).

The spelling of 2381384448 in words is "two billion, three hundred eighty-one million, three hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 38281 62208 76562 114843 153124 229686 306248 344529 459372 612496 689058 918744 1033587 1224992 1378116 1837488 2067174 2449984 2756232 3100761 3674976 4134348 4899968 5512464 6201522 7349952 8268696 9302283 9799936 11024928 12403044 14699904 16537392 18604566 22049856 24806088 29399808 33074784 37209132 44099712 49612176 66149568 74418264 88199424 99224352 132299136 148836528 198448704 264598272 297673056 396897408 595346112 793794816 1190692224 2381384448