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232430004 = 223237211827
BaseRepresentation
bin11011101101010…
…01100110110100
3121012100200000200
431312221212310
5434000230004
635021440500
75521423332
oct1566514664
9535320020
10232430004
1110a223114
1265a10130
1339200361
1422c24b52
1515613239
hexdda99b4

232430004 has 72 divisors (see below), whose sum is σ = 607003488. Its totient is φ = 74934720.

The previous prime is 232429999. The next prime is 232430047. The reversal of 232430004 is 400034232.

232430004 is a `hidden beast` number, since 232 + 430 + 0 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280639 + ... + 281465.

It is an arithmetic number, because the mean of its divisors is an integer number (8430604).

Almost surely, 2232430004 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 232430004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303501744).

232430004 is an abundant number, since it is smaller than the sum of its proper divisors (374573484).

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

232430004 is a wasteful number, since it uses less digits than its factorization.

232430004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1080 counting only the distinct ones).

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

The square root of 232430004 is about 15245.6552499392. The cubic root of 232430004 is about 614.8427597217.

Adding to 232430004 its reverse (400034232), we get a palindrome (632464236).

The spelling of 232430004 in words is "two hundred thirty-two million, four hundred thirty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 211 222 333 422 444 633 666 827 844 1266 1332 1654 1899 2481 2532 3308 3798 4962 7443 7596 7807 9924 14886 15614 23421 29772 30599 31228 46842 61198 70263 91797 93684 122396 140526 174497 183594 275391 281052 348994 367188 523491 550782 697988 1046982 1101564 1570473 2093964 3140946 6281892 6456389 12912778 19369167 25825556 38738334 58107501 77476668 116215002 232430004