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380524400 = 24521950069
BaseRepresentation
bin10110101011100…
…101011101110000
3222112000122100022
4112223211131300
51234403240100
6101431543012
712300255404
oct2653453560
9875018308
10380524400
11185883683
12a752aa68
1360ab2a89
1438775104
1523617e85
hex16ae5770

380524400 has 60 divisors (see below), whose sum is σ = 962345400. Its totient is φ = 144195840.

The previous prime is 380524327. The next prime is 380524427. The reversal of 380524400 is 4425083.

It is a self number, because there is not a number n which added to its sum of digits gives 380524400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17435 + ... + 32634.

It is an arithmetic number, because the mean of its divisors is an integer number (16039090).

Almost surely, 2380524400 is an apocalyptic number.

It is an amenable number.

380524400 is an abundant number, since it is smaller than the sum of its proper divisors (581821000).

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

380524400 is a wasteful number, since it uses less digits than its factorization.

380524400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50106 (or 50095 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 380524400 is about 19507.0346285641. The cubic root of 380524400 is about 724.6486763928.

Adding to 380524400 its reverse (4425083), we get a palindrome (384949483).

The spelling of 380524400 in words is "three hundred eighty million, five hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 50069 100138 200276 250345 400552 500690 801104 951311 1001380 1251725 1902622 2002760 2503450 3805244 4005520 4756555 5006900 7610488 9513110 10013800 15220976 19026220 20027600 23782775 38052440 47565550 76104880 95131100 190262200 380524400