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238349412 = 22337378521
BaseRepresentation
bin11100011010011…
…10110001100100
3121121111101221000
432031032301210
5442004140122
635352353300
75622636150
oct1615166144
9547441830
10238349412
111125a6494
12679a5830
133a4c3772
1423926060
1515dd20ac
hexe34ec64

238349412 has 96 divisors (see below), whose sum is σ = 725392640. Its totient is φ = 66251520.

The previous prime is 238349411. The next prime is 238349443. The reversal of 238349412 is 214943832.

238349412 is a `hidden beast` number, since 238 + 3 + 4 + 9 + 412 = 666.

238349412 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 (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (238349411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23712 + ... + 32232.

Almost surely, 2238349412 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 238349412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362696320).

238349412 is an abundant number, since it is smaller than the sum of its proper divisors (487043228).

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

238349412 is a wasteful number, since it uses less digits than its factorization.

238349412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8578 (or 8570 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 238349412 is about 15438.5689751350. The cubic root of 238349412 is about 620.0185669084.

The spelling of 238349412 in words is "two hundred thirty-eight million, three hundred forty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1332 1554 1998 2331 3108 3996 4662 6993 8521 9324 13986 17042 25563 27972 34084 51126 59647 76689 102252 119294 153378 178941 230067 238588 306756 315277 357882 460134 536823 630554 715764 920268 945831 1073646 1261108 1610469 1891662 2147292 2206939 2837493 3220938 3783324 4413878 5674986 6441876 6620817 8512479 8827756 11349972 13241634 17024958 19862451 26483268 34049916 39724902 59587353 79449804 119174706 238349412