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381214784 = 26192511249
BaseRepresentation
bin10110101110001…
…110000001000000
3222120022201101002
4112232032001000
51240042333114
6101454431132
712306162236
oct2656160100
9876281332
10381214784
11186205345
12a78024a8
1360c950a2
14388b4956
15237027de
hex16b8e040

381214784 has 56 divisors (see below), whose sum is σ = 800100000. Its totient is φ = 179712000.

The previous prime is 381214777. The next prime is 381214787. The reversal of 381214784 is 487412183.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (381214787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304592 + ... + 305840.

It is an arithmetic number, because the mean of its divisors is an integer number (14287500).

Almost surely, 2381214784 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 381214784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400050000).

381214784 is an abundant number, since it is smaller than the sum of its proper divisors (418885216).

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

381214784 is a wasteful number, since it uses less digits than its factorization.

381214784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1521 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 381214784 is about 19524.7223795884. The cubic root of 381214784 is about 725.0866540895.

The spelling of 381214784 in words is "three hundred eighty-one million, two hundred fourteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 251 304 502 608 1004 1216 1249 2008 2498 4016 4769 4996 8032 9538 9992 16064 19076 19984 23731 38152 39968 47462 76304 79936 94924 152608 189848 305216 313499 379696 626998 759392 1253996 1518784 2507992 5015984 5956481 10031968 11912962 20063936 23825924 47651848 95303696 190607392 381214784