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234704800 = 255211149179
BaseRepresentation
bin11011111110101…
…00111110100000
3121100122020110101
431333110332200
5440041023200
635142312144
75546646361
oct1577247640
9540566411
10234704800
11110537210
1266728654
13398188a5
1423257b68
151591226a
hexdfd4fa0

234704800 has 144 divisors (see below), whose sum is σ = 632772000. Its totient is φ = 84300800.

The previous prime is 234704797. The next prime is 234704807. The reversal of 234704800 is 8407432.

It is not an unprimeable number, because it can be changed into a prime (234704807) 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, 1311111 + ... + 1311289.

It is an arithmetic number, because the mean of its divisors is an integer number (4394250).

Almost surely, 2234704800 is an apocalyptic number.

234704800 is a gapful number since it is divisible by the number (20) 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 234704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316386000).

234704800 is an abundant number, since it is smaller than the sum of its proper divisors (398067200).

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

234704800 is a wasteful number, since it uses less digits than its factorization.

234704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 234704800 is about 15320.0783287815. The cubic root of 234704800 is about 616.8420765510.

The spelling of 234704800 in words is "two hundred thirty-four million, seven hundred four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 149 160 176 179 200 220 275 298 352 358 400 440 550 596 716 745 800 880 895 1100 1192 1432 1490 1639 1760 1790 1969 2200 2384 2864 2980 3278 3580 3725 3938 4400 4475 4768 5728 5960 6556 7160 7450 7876 8195 8800 8950 9845 11920 13112 14320 14900 15752 16390 17900 19690 23840 26224 26671 28640 29800 31504 32780 35800 39380 40975 49225 52448 53342 59600 63008 65560 71600 78760 81950 98450 106684 119200 131120 133355 143200 157520 163900 196900 213368 262240 266710 293381 315040 327800 393800 426736 533420 586762 655600 666775 787600 853472 1066840 1173524 1311200 1333550 1466905 1575200 2133680 2347048 2667100 2933810 4267360 4694096 5334200 5867620 7334525 9388192 10668400 11735240 14669050 21336800 23470480 29338100 46940960 58676200 117352400 234704800