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380284742376 = 2333711171344979
BaseRepresentation
bin1011000100010101011…
…11001010101011101000
31100100120200211111212000
411202022233022223220
522212310343224001
6450411141451000
736321544655550
oct5421257125350
91310520744760
10380284742376
11137306906560
1261850710a60
1329b25c4b826
1414597a3c160
159d5ab75a86
hex588abcaae8

380284742376 has 256 divisors, whose sum is σ = 1394475264000. Its totient is φ = 92964879360.

The previous prime is 380284742353. The next prime is 380284742377. The reversal of 380284742376 is 673247482083.

It is a happy number.

380284742376 is a `hidden beast` number, since 3 + 80 + 2 + 8 + 474 + 23 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (380284742377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389746 + ... + 955233.

It is an arithmetic number, because the mean of its divisors is an integer number (5447169000).

Almost surely, 2380284742376 is an apocalyptic number.

380284742376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

380284742376 is an abundant number, since it is smaller than the sum of its proper divisors (1014190521624).

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

380284742376 is a wasteful number, since it uses less digits than its factorization.

380284742376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345029 (or 1345019 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 380284742376 in words is "three hundred eighty billion, two hundred eighty-four million, seven hundred forty-two thousand, three hundred seventy-six".