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381367278 = 23419235387
BaseRepresentation
bin10110101110110…
…011001111101110
3222120121110120000
4112232303033232
51240112223103
6101502005130
712310365645
oct2656631756
9876543500
10381367278
111862a9976
12a78767a6
1361019616
143891435c
1523732aa3
hex16bb33ee

381367278 has 80 divisors (see below), whose sum is σ = 938805120. Its totient is φ = 115174224.

The previous prime is 381367267. The next prime is 381367289. The reversal of 381367278 is 872763183.

381367278 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381367267) and next prime (381367289).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 68101 + ... + 73487.

It is an arithmetic number, because the mean of its divisors is an integer number (11735064).

Almost surely, 2381367278 is an apocalyptic number.

381367278 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381367278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469402560).

381367278 is an abundant number, since it is smaller than the sum of its proper divisors (557437842).

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

381367278 is a wasteful number, since it uses less digits than its factorization.

381367278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5434 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 381367278 is about 19528.6271406876. The cubic root of 381367278 is about 725.1833245480.

The spelling of 381367278 in words is "three hundred eighty-one million, three hundred sixty-seven thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 162 171 207 342 414 437 513 621 874 1026 1242 1311 1539 1863 2622 3078 3726 3933 5387 7866 10774 11799 16161 23598 32322 35397 48483 70794 96966 102353 123901 145449 204706 247802 290898 307059 371703 436347 614118 743406 872694 921177 1115109 1842354 2230218 2354119 2763531 3345327 4708238 5527062 6690654 7062357 8290593 10035981 14124714 16581186 20071962 21187071 42374142 63561213 127122426 190683639 381367278