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381653800 = 235211283613
BaseRepresentation
bin10110101111111…
…001001100101000
3222121011000120221
4112233321030220
51240200410200
6101512055424
712313001203
oct2657711450
9877130527
10381653800
11186485170
12a7994574
13610b9b68
143898a93a
152378c91a
hex16bf9328

381653800 has 96 divisors (see below), whose sum is σ = 973018080. Its totient is φ = 138067200.

The previous prime is 381653773. The next prime is 381653807. The reversal of 381653800 is 8356183.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (381653807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622294 + ... + 622906.

It is an arithmetic number, because the mean of its divisors is an integer number (10135605).

Almost surely, 2381653800 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 381653800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486509040).

381653800 is an abundant number, since it is smaller than the sum of its proper divisors (591364280).

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

381653800 is a wasteful number, since it uses less digits than its factorization.

381653800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 381653800 is about 19535.9617116742. The cubic root of 381653800 is about 725.3648896471.

The spelling of 381653800 in words is "three hundred eighty-one million, six hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 283 440 550 566 613 1100 1132 1226 1415 2200 2264 2452 2830 3065 3113 4904 5660 6130 6226 6743 7075 11320 12260 12452 13486 14150 15325 15565 24520 24904 26972 28300 30650 31130 33715 53944 56600 61300 62260 67430 77825 122600 124520 134860 155650 168575 173479 269720 311300 337150 346958 622600 674300 693916 867395 1348600 1387832 1734790 1908269 3469580 3816538 4336975 6939160 7633076 8673950 9541345 15266152 17347900 19082690 34695800 38165380 47706725 76330760 95413450 190826900 381653800