Search a number
-
+
381373240 = 235173491607
BaseRepresentation
bin10110101110110…
…100101100111000
3222120121202201211
4112232310230320
51240112420430
6101502052504
712310422223
oct2656645470
9876552654
10381373240
111863033a6
12a787a134
136101c251
14389165ba
152373472a
hex16bb4b38

381373240 has 64 divisors (see below), whose sum is σ = 911736000. Its totient is φ = 143075328.

The previous prime is 381373231. The next prime is 381373241. The reversal of 381373240 is 42373183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381373241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236517 + ... + 238123.

It is an arithmetic number, because the mean of its divisors is an integer number (14245875).

Almost surely, 2381373240 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 381373240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455868000).

381373240 is an abundant number, since it is smaller than the sum of its proper divisors (530362760).

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

381373240 is a wasteful number, since it uses less digits than its factorization.

381373240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 381373240 is about 19528.7797877901. The cubic root of 381373240 is about 725.1871035127.

The spelling of 381373240 in words is "three hundred eighty-one million, three hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 349 680 698 1396 1607 1745 2792 3214 3490 5933 6428 6980 8035 11866 12856 13960 16070 23732 27319 29665 32140 47464 54638 59330 64280 109276 118660 136595 218552 237320 273190 546380 560843 1092760 1121686 2243372 2804215 4486744 5608430 9534331 11216860 19068662 22433720 38137324 47671655 76274648 95343310 190686620 381373240