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234375000 = 233510
BaseRepresentation
bin11011111100001…
…00011101011000
3121100000111001120
431332010131120
5440000000000
635131245240
75544104016
oct1576043530
9540014046
10234375000
11110331452
12665a9820
1339731742
14231ad8b6
15158996a0
hexdf84758

234375000 has 88 divisors (see below), whose sum is σ = 732421860. Its totient is φ = 62500000.

The previous prime is 234374999. The next prime is 234375019. The reversal of 234375000 is 573432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 46874998 + ... + 46875002.

Almost surely, 2234375000 is an apocalyptic number.

234375000 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 234375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366210930).

234375000 is an abundant number, since it is smaller than the sum of its proper divisors (498046860).

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

234375000 is an frugal number, since it uses more digits than its factorization.

234375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 234375000 is about 15309.3108923949. The cubic root of 234375000 is about 616.5530185826.

Multiplying 234375000 by its sum of digits (24), we get a square (5625000000 = 750002).

234375000 divided by its sum of digits (24) gives a 10-th power (9765625 = 510).

The spelling of 234375000 in words is "two hundred thirty-four million, three hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3750 5000 6250 7500 9375 12500 15000 15625 18750 25000 31250 37500 46875 62500 75000 78125 93750 125000 156250 187500 234375 312500 375000 390625 468750 625000 781250 937500 1171875 1562500 1875000 1953125 2343750 3125000 3906250 4687500 5859375 7812500 9375000 9765625 11718750 15625000 19531250 23437500 29296875 39062500 46875000 58593750 78125000 117187500 234375000