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234007992 = 233217414663
BaseRepresentation
bin11011111001010…
…10110110111000
3121022022211121200
431330222312320
5434401223432
635115334200
75541015021
oct1574526670
9538284550
10234007992
11110100739
1266451360
133963368a
1423115c48
1515825a7c
hexdf2adb8

234007992 has 96 divisors (see below), whose sum is σ = 687566880. Its totient is φ = 71608320.

The previous prime is 234007981. The next prime is 234007993. The reversal of 234007992 is 299700432.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234007993) by changing a digit.

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, 47853 + ... + 52515.

It is an arithmetic number, because the mean of its divisors is an integer number (7162155).

Almost surely, 2234007992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234007992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343783440).

234007992 is an abundant number, since it is smaller than the sum of its proper divisors (453558888).

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

234007992 is a wasteful number, since it uses less digits than its factorization.

234007992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 234007992 is about 15297.3197652399. The cubic root of 234007992 is about 616.2310301684.

The spelling of 234007992 in words is "two hundred thirty-four million, seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 82 102 123 136 153 164 204 246 306 328 369 408 492 612 697 738 984 1224 1394 1476 2091 2788 2952 4182 4663 5576 6273 8364 9326 12546 13989 16728 18652 25092 27978 37304 41967 50184 55956 79271 83934 111912 158542 167868 191183 237813 317084 335736 382366 475626 573549 634168 713439 764732 951252 1147098 1426878 1529464 1720647 1902504 2294196 2853756 3250111 3441294 4588392 5707512 6500222 6882588 9750333 13000444 13765176 19500666 26000888 29250999 39001332 58501998 78002664 117003996 234007992