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231020034 = 23773151499
BaseRepresentation
bin11011100010100…
…01011000000010
3121002201000220120
431301101120002
5433120120114
634531321110
75503431540
oct1561213002
9532630816
10231020034
1110944a853
1265450196
1338b2865b
1422978d90
15154355a9
hexdc51602

231020034 has 64 divisors (see below), whose sum is σ = 539904000. Its totient is φ = 64540800.

The previous prime is 231019991. The next prime is 231020047. The reversal of 231020034 is 430020132.

It is a super-2 number, since 2×2310200342 = 106740512218722312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231019995 and 231020022.

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 31 ways as a sum of consecutive naturals, for example, 462717 + ... + 463215.

It is an arithmetic number, because the mean of its divisors is an integer number (8436000).

Almost surely, 2231020034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231020034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269952000).

231020034 is an abundant number, since it is smaller than the sum of its proper divisors (308883966).

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

231020034 is a wasteful number, since it uses less digits than its factorization.

231020034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 231020034 is about 15199.3432094943. The cubic root of 231020034 is about 613.5969814716.

Adding to 231020034 its reverse (430020132), we get a palindrome (661040166).

The spelling of 231020034 in words is "two hundred thirty-one million, twenty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 73 146 151 219 302 438 453 499 511 906 998 1022 1057 1497 1533 2114 2994 3066 3171 3493 6342 6986 10479 11023 20958 22046 33069 36427 66138 72854 75349 77161 109281 150698 154322 218562 226047 231483 254989 452094 462966 509978 527443 764967 1054886 1529934 1582329 3164658 5500477 11000954 16501431 33002862 38503339 77006678 115510017 231020034