Search a number
-
+
381365436 = 223414011933
BaseRepresentation
bin10110101110110…
…010110010111100
3222120121101000210
4112232302302330
51240112143221
6101501552420
712310360404
oct2656626274
9876541023
10381365436
111862a8551
12a7875710
136101882a
1438913804
1523732276
hex16bb2cbc

381365436 has 48 divisors (see below), whose sum is σ = 914302368. Its totient is φ = 123648000.

The previous prime is 381365429. The next prime is 381365443. The reversal of 381365436 is 634563183.

381365436 is digitally balanced in base 3 and base 9, because in such bases 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 (381365429) and next prime (381365443).

381365436 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 381365394 and 381365403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196326 + ... + 198258.

It is an arithmetic number, because the mean of its divisors is an integer number (19047966).

Almost surely, 2381365436 is an apocalyptic number.

It is an amenable number.

381365436 is an abundant number, since it is smaller than the sum of its proper divisors (532936932).

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

381365436 is a wasteful number, since it uses less digits than its factorization.

381365436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2380 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 381365436 is about 19528.5799790973. The cubic root of 381365436 is about 725.1821570035.

The spelling of 381365436 in words is "three hundred eighty-one million, three hundred sixty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 401 492 802 1203 1604 1933 2406 3866 4812 5799 7732 11598 16441 23196 32882 49323 65764 79253 98646 158506 197292 237759 317012 475518 775133 951036 1550266 2325399 3100532 4650798 9301596 31780453 63560906 95341359 127121812 190682718 381365436