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234189648 = 243271121121
BaseRepresentation
bin11011111010101…
…11001101010000
3121022200001210200
431331113031100
5434423032043
635123255200
75542402440
oct1575271520
9538601720
10234189648
11110215170
126651a500
1339698274
1423162120
151585e7d3
hexdf57350

234189648 has 120 divisors (see below), whose sum is σ = 817167936. Its totient is φ = 60825600.

The previous prime is 234189643. The next prime is 234189667. The reversal of 234189648 is 846981432.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234189643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528 + ... + 21648.

Almost surely, 2234189648 is an apocalyptic number.

234189648 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 234189648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408583968).

234189648 is an abundant number, since it is smaller than the sum of its proper divisors (582978288).

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

234189648 is a wasteful number, since it uses less digits than its factorization.

234189648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21153 (or 21144 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 234189648 is about 15303.2561241064. The cubic root of 234189648 is about 616.3904451089.

The spelling of 234189648 in words is "two hundred thirty-four million, one hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 21121 42242 63363 84484 126726 147847 168968 190089 232331 253452 295694 337936 380178 443541 464662 506904 591388 696993 760356 887082 929324 1013808 1182776 1330623 1393986 1520712 1626317 1774164 1858648 2090979 2365552 2661246 2787972 3041424 3252634 3548328 3717296 4181958 4878951 5322492 5575944 6505268 7096656 8363916 9757902 10644984 11151888 13010536 14636853 16727832 19515804 21289968 26021072 29273706 33455664 39031608 58547412 78063216 117094824 234189648