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234919608 = 233711235527
BaseRepresentation
bin11100000000010…
…01011010111000
3121101001011010020
432000021122320
5440114411413
635151050440
75551532550
oct1600113270
9541034106
10234919608
11110673640
1266810a20
13398925b1
14232b2160
1515955c23
hexe0096b8

234919608 has 128 divisors (see below), whose sum is σ = 764190720. Its totient is φ = 58354560.

The previous prime is 234919603. The next prime is 234919639. The reversal of 234919608 is 806919432.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 234919608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234919603) by changing a digit.

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, 39741 + ... + 45267.

It is an arithmetic number, because the mean of its divisors is an integer number (5970240).

Almost surely, 2234919608 is an apocalyptic number.

234919608 is a gapful number since it is divisible by the number (28) 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 234919608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382095360).

234919608 is an abundant number, since it is smaller than the sum of its proper divisors (529271112).

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

234919608 is a wasteful number, since it uses less digits than its factorization.

234919608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 234919608 is about 15327.0873945443. The cubic root of 234919608 is about 617.0302025288.

The spelling of 234919608 in words is "two hundred thirty-four million, nine hundred nineteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 23 24 28 33 42 44 46 56 66 69 77 84 88 92 132 138 154 161 168 184 231 253 264 276 308 322 462 483 506 552 616 644 759 924 966 1012 1288 1518 1771 1848 1932 2024 3036 3542 3864 5313 5527 6072 7084 10626 11054 14168 16581 21252 22108 33162 38689 42504 44216 60797 66324 77378 116067 121594 127121 132648 154756 182391 232134 243188 254242 309512 364782 381363 425579 464268 486376 508484 729564 762726 851158 889847 928536 1016968 1276737 1398331 1459128 1525452 1702316 1779694 2553474 2669541 2796662 3050904 3404632 3559388 4194993 5106948 5339082 5593324 7118776 8389986 9788317 10213896 10678164 11186648 16779972 19576634 21356328 29364951 33559944 39153268 58729902 78306536 117459804 234919608