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238301352 = 2336291409
BaseRepresentation
bin11100011010000…
…11000010101000
3121121101222000000
432031003002220
5442001120402
635351343000
75622346062
oct1615030250
9547358000
10238301352
11112573373
1267981a60
133a4a7923
1423912732
1515dc2c1c
hexe3430a8

238301352 has 112 divisors (see below), whose sum is σ = 693508500. Its totient is φ = 76640256.

The previous prime is 238301311. The next prime is 238301387. The reversal of 238301352 is 253103832.

238301352 is a `hidden beast` number, since 2 + 3 + 8 + 301 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214153956 + 24147396 = 14634^2 + 4914^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 168424 + ... + 169832.

Almost surely, 2238301352 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 238301352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346754250).

238301352 is an abundant number, since it is smaller than the sum of its proper divisors (455207148).

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

238301352 is a wasteful number, since it uses less digits than its factorization.

238301352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 238301352 is about 15437.0124052551. The cubic root of 238301352 is about 619.9768912650.

The spelling of 238301352 in words is "two hundred thirty-eight million, three hundred one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 729 783 972 1044 1409 1458 1566 1944 2088 2349 2818 2916 3132 4227 4698 5636 5832 6264 7047 8454 9396 11272 12681 14094 16908 18792 21141 25362 28188 33816 38043 40861 42282 50724 56376 76086 81722 84564 101448 114129 122583 152172 163444 169128 228258 245166 304344 326888 342387 367749 456516 490332 684774 735498 913032 980664 1027161 1103247 1369548 1470996 2054322 2206494 2739096 2941992 3309741 4108644 4412988 6619482 8217288 8825976 9929223 13238964 19858446 26477928 29787669 39716892 59575338 79433784 119150676 238301352