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231640704 = 2732192557
BaseRepresentation
bin11011100111010…
…00111010000000
3121010212120022100
431303220322000
5433300000304
634552510400
75511625221
oct1563507200
9533776270
10231640704
111098340a9
12656ab400
1338cb5009
1422a9b248
1515509439
hexdce8e80

231640704 has 144 divisors (see below), whose sum is σ = 704762370. Its totient is φ = 73018368.

The previous prime is 231640681. The next prime is 231640709. The reversal of 231640704 is 407046132.

231640704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 226442304 + 5198400 = 15048^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (231640709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 415594 + ... + 416150.

Almost surely, 2231640704 is an apocalyptic number.

231640704 is a gapful number since it is divisible by the number (24) 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 231640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352381185).

231640704 is an abundant number, since it is smaller than the sum of its proper divisors (473121666).

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

231640704 is a wasteful number, since it uses less digits than its factorization.

231640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 231640704 is about 15219.7471726701. The cubic root of 231640704 is about 614.1459968934.

Adding to 231640704 its reverse (407046132), we get a palindrome (638686836).

The spelling of 231640704 in words is "two hundred thirty-one million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 361 384 456 557 576 608 684 722 912 1083 1114 1152 1216 1368 1444 1671 1824 2166 2228 2432 2736 2888 3249 3342 3648 4332 4456 5013 5472 5776 6498 6684 7296 8664 8912 10026 10583 10944 11552 12996 13368 17328 17824 20052 21166 21888 23104 25992 26736 31749 34656 35648 40104 42332 46208 51984 53472 63498 69312 71296 80208 84664 95247 103968 106944 126996 138624 160416 169328 190494 201077 207936 213888 253992 320832 338656 380988 402154 415872 507984 603231 641664 677312 761976 804308 1015968 1206462 1354624 1523952 1608616 1809693 2031936 2412924 3047904 3217232 3619386 4063872 4825848 6095808 6434464 7238772 9651696 12191616 12868928 14477544 19303392 25737856 28955088 38606784 57910176 77213568 115820352 231640704