Search a number
-
+
100304388 = 22322923313
BaseRepresentation
bin1011111101010…
…00011000000100
320222201222202100
411332220120010
5201134220023
613541512100
72325400422
oct576503004
9228658670
10100304388
115168a198
1229712630
1317a1c212
14d470112
158c14c43
hex5fa8604

100304388 has 54 divisors (see below), whose sum is σ = 262670954. Its totient is φ = 32272128.

The previous prime is 100304383. The next prime is 100304389. The reversal of 100304388 is 883403001.

It can be written as a sum of positive squares in 3 ways, for example, as 38713284 + 61591104 = 6222^2 + 7848^2 .

It is not an unprimeable number, because it can be changed into a prime (100304381) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28620 + ... + 31932.

Almost surely, 2100304388 is an apocalyptic number.

100304388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100304388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131335477).

100304388 is an abundant number, since it is smaller than the sum of its proper divisors (162366566).

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

100304388 is a wasteful number, since it uses less digits than its factorization.

100304388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100304388 is about 10015.2078360861. The cubic root of 100304388 is about 464.6293543119.

Adding to 100304388 its reverse (883403001), we get a palindrome (983707389).

The spelling of 100304388 in words is "one hundred million, three hundred four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3313 3364 5046 6626 7569 9939 10092 13252 15138 19878 29817 30276 39756 59634 96077 119268 192154 288231 384308 576462 864693 1152924 1729386 2786233 3458772 5572466 8358699 11144932 16717398 25076097 33434796 50152194 100304388