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234124992 = 2634192377
BaseRepresentation
bin11011111010001…
…11011011000000
3121022112210010000
431331013123000
5434413444432
635122040000
75542013103
oct1575073300
9538483100
10234124992
11110180632
12664a9000
13396749ca
142314673a
151584a57c
hexdf476c0

234124992 has 140 divisors (see below), whose sum is σ = 730854520. Its totient is φ = 73903104.

The previous prime is 234124987. The next prime is 234124999. The reversal of 234124992 is 299421432.

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

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

It is not an unprimeable number, because it can be changed into a prime (234124999) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97308 + ... + 99684.

Almost surely, 2234124992 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 234124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365427260).

234124992 is an abundant number, since it is smaller than the sum of its proper divisors (496729528).

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

234124992 is a wasteful number, since it uses less digits than its factorization.

234124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2401 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 234124992 is about 15301.1434866810. The cubic root of 234124992 is about 616.3337147209. Note that the first 3 decimals are identical.

The spelling of 234124992 in words is "two hundred thirty-four million, one hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2377 2592 2736 3078 3648 4104 4754 5184 5472 6156 7131 8208 9508 10944 12312 14262 16416 19016 21393 24624 28524 32832 38032 42786 45163 49248 57048 64179 76064 85572 90326 98496 114096 128358 135489 152128 171144 180652 192537 228192 256716 270978 342288 361304 385074 406467 456384 513432 541956 684576 722608 770148 812934 1026864 1083912 1219401 1369152 1445216 1540296 1625868 2053728 2167824 2438802 2890432 3080592 3251736 3658203 4107456 4335648 4877604 6161184 6503472 7316406 8671296 9755208 12322368 13006944 14632812 19510416 26013888 29265624 39020832 58531248 78041664 117062496 234124992