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234211032 = 2332111132617
BaseRepresentation
bin11011111010111…
…00011011011000
3121022201011010200
431331130123120
5434424223112
635123542200
75542521666
oct1575343330
9538634120
10234211032
1111022a240
126652a960
13396a4c13
1423169c36
1515865cdc
hexdf5c6d8

234211032 has 96 divisors (see below), whose sum is σ = 698377680. Its totient is φ = 70318080.

The previous prime is 234211027. The next prime is 234211049. The reversal of 234211032 is 230112432.

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

It is a junction number, because it is equal to n+sod(n) for n = 234210996 and 234211014.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 88188 + ... + 90804.

Almost surely, 2234211032 is an apocalyptic number.

234211032 is a gapful number since it is divisible by the number (22) 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 234211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349188840).

234211032 is an abundant number, since it is smaller than the sum of its proper divisors (464166648).

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

234211032 is a wasteful number, since it uses less digits than its factorization.

234211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 234211032 is about 15303.9547829965. The cubic root of 234211032 is about 616.4092055341.

Adding to 234211032 its reverse (230112432), we get a palindrome (464323464).

The spelling of 234211032 in words is "two hundred thirty-four million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 113 132 198 226 264 339 396 452 678 792 904 1017 1243 1356 2034 2486 2617 2712 3729 4068 4972 5234 7458 7851 8136 9944 10468 11187 14916 15702 20936 22374 23553 28787 29832 31404 44748 47106 57574 62808 86361 89496 94212 115148 172722 188424 230296 259083 295721 345444 518166 591442 690888 887163 1036332 1182884 1774326 2072664 2365768 2661489 3252931 3548652 5322978 6505862 7097304 9758793 10645956 13011724 19517586 21291912 26023448 29276379 39035172 58552758 78070344 117105516 234211032