Search a number
-
+
238803040 = 2557213217
BaseRepresentation
bin11100011101111…
…01100001100000
3121122100110012001
432032331201200
5442113144130
635410213344
75626535530
oct1616754140
9548313161
10238803040
11112886293
1267b84254
133a622098
1423a034c0
1515e716ca
hexe3bd860

238803040 has 48 divisors (see below), whose sum is σ = 644771232. Its totient is φ = 81874944.

The previous prime is 238803007. The next prime is 238803067. The reversal of 238803040 is 40308832.

238803040 is digitally balanced in base 2, because in such base 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 (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105489 + ... + 107728.

It is an arithmetic number, because the mean of its divisors is an integer number (13432734).

Almost surely, 2238803040 is an apocalyptic number.

238803040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238803040 is an abundant number, since it is smaller than the sum of its proper divisors (405968192).

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

238803040 is a wasteful number, since it uses less digits than its factorization.

238803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213239 (or 213231 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 238803040 is about 15453.2533791432. The cubic root of 238803040 is about 620.4116586276.

It can be divided in two parts, 238 and 803040, that added together give a triangular number (803278 = T1267).

The spelling of 238803040 in words is "two hundred thirty-eight million, eight hundred three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 213217 426434 852868 1066085 1492519 1705736 2132170 2985038 3411472 4264340 5970076 6822944 7462595 8528680 11940152 14925190 17057360 23880304 29850380 34114720 47760608 59700760 119401520 238803040