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381359700 = 223252491863
BaseRepresentation
bin10110101110110…
…001011001010100
3222120121002011100
4112232301121110
51240112002300
6101501510100
712310334601
oct2656613124
9876532140
10381359700
111862a4207
12a7872330
1361016037
14389116a8
1523730700
hex16bb1654

381359700 has 108 divisors (see below), whose sum is σ = 1199173248. Its totient is φ = 101371200.

The previous prime is 381359677. The next prime is 381359743. The reversal of 381359700 is 7953183.

381359700 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 a Harshad number since it is a multiple of its sum of digits (36).

381359700 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 441469 + ... + 442331.

It is an arithmetic number, because the mean of its divisors is an integer number (11103456).

Almost surely, 2381359700 is an apocalyptic number.

381359700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381359700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599586624).

381359700 is an abundant number, since it is smaller than the sum of its proper divisors (817813548).

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

381359700 is a wasteful number, since it uses less digits than its factorization.

381359700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 381359700 is about 19528.4331168683. The cubic root of 381359700 is about 725.1785212382.

The spelling of 381359700 in words is "three hundred eighty-one million, three hundred fifty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 491 863 900 982 1473 1726 1964 2455 2589 2946 3452 4315 4419 4910 5178 5892 7365 7767 8630 8838 9820 10356 12275 12945 14730 15534 17260 17676 21575 22095 24550 25890 29460 31068 36825 38835 43150 44190 49100 51780 64725 73650 77670 86300 88380 110475 129450 147300 155340 194175 220950 258900 388350 423733 441900 776700 847466 1271199 1694932 2118665 2542398 3813597 4237330 5084796 6355995 7627194 8474660 10593325 12711990 15254388 19067985 21186650 25423980 31779975 38135970 42373300 63559950 76271940 95339925 127119900 190679850 381359700