Search a number
-
+
238356036 = 223261108541
BaseRepresentation
bin11100011010100…
…00011001000100
3121121111202000100
432031100121010
5442004343121
635352444100
75622664362
oct1615203104
9547452010
10238356036
11112600466
12679a9630
133a4c6799
1423928632
1515dd4026
hexe350644

238356036 has 36 divisors (see below), whose sum is σ = 612393964. Its totient is φ = 78148800.

The previous prime is 238356029. The next prime is 238356043. The reversal of 238356036 is 630653832.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (238356029) and next prime (238356043).

It can be written as a sum of positive squares in 2 ways, for example, as 101606400 + 136749636 = 10080^2 + 11694^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 52075 + ... + 56466.

Almost surely, 2238356036 is an apocalyptic number.

It is an amenable number.

238356036 is an abundant number, since it is smaller than the sum of its proper divisors (374037928).

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

238356036 is a wasteful number, since it uses less digits than its factorization.

238356036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108612 (or 108607 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 238356036 is about 15438.7835012996. The cubic root of 238356036 is about 620.0243105279.

The spelling of 238356036 in words is "two hundred thirty-eight million, three hundred fifty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 108541 217082 325623 434164 651246 976869 1302492 1953738 3907476 6621001 13242002 19863003 26484004 39726006 59589009 79452012 119178018 238356036