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233240004 = 223245714177
BaseRepresentation
bin11011110011011…
…11010111000100
3121020212211010200
431321233113010
5434202140004
635051050500
75531336004
oct1571572704
9536784120
10233240004
1110a726738
1266140a30
1339424c4a
1422d96004
1515723239
hexde6f5c4

233240004 has 36 divisors (see below), whose sum is σ = 590910684. Its totient is φ = 77571072.

The previous prime is 233239999. The next prime is 233240009. The reversal of 233240004 is 400042332.

233240004 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233239999) and next prime (233240009).

It can be written as a sum of positive squares in 2 ways, for example, as 221950404 + 11289600 = 14898^2 + 3360^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

233240004 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (233240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9364 + ... + 23540.

Almost surely, 2233240004 is an apocalyptic number.

It is an amenable number.

233240004 is an abundant number, since it is smaller than the sum of its proper divisors (357670680).

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

233240004 is a wasteful number, since it uses less digits than its factorization.

233240004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14644 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233240004 is about 15272.1970914469. The cubic root of 233240004 is about 615.5561576210.

Adding to 233240004 its reverse (400042332), we get a palindrome (633282336).

The spelling of 233240004 in words is "two hundred thirty-three million, two hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 8226 14177 16452 28354 42531 56708 85062 127593 170124 255186 510372 6478889 12957778 19436667 25915556 38873334 58310001 77746668 116620002 233240004