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10234000 = 245371743
BaseRepresentation
bin100111000010…
…100010010000
3201020221102001
4213002202100
510104442000
61003203344
7152662510
oct47024220
921227361
1010234000
11585aa57
123516554
13217422a
141505840
15d7246a
hex9c2890

10234000 has 160 divisors (see below), whose sum is σ = 30640896. Its totient is φ = 3225600.

The previous prime is 10233959. The next prime is 10234019. The reversal of 10234000 is 43201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237979 + ... + 238021.

Almost surely, 210234000 is an apocalyptic number.

10234000 is a gapful number since it is divisible by the number (10) 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 10234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320448).

10234000 is an abundant number, since it is smaller than the sum of its proper divisors (20406896).

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

10234000 is a wasteful number, since it uses less digits than its factorization.

10234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10234000 is about 3199.0623626307. The cubic root of 10234000 is about 217.1109882659.

Adding to 10234000 its reverse (43201), we get a palindrome (10277201).

The spelling of 10234000 in words is "ten million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 43 50 56 68 70 80 85 86 100 112 119 125 136 140 170 172 175 200 215 238 250 272 280 301 340 344 350 400 425 430 476 500 560 595 602 680 688 700 731 850 860 875 952 1000 1075 1190 1204 1360 1400 1462 1505 1700 1720 1750 1904 2000 2125 2150 2380 2408 2800 2924 2975 3010 3400 3440 3500 3655 4250 4300 4760 4816 5117 5375 5848 5950 6020 6800 7000 7310 7525 8500 8600 9520 10234 10750 11696 11900 12040 14000 14620 14875 15050 17000 17200 18275 20468 21500 23800 24080 25585 29240 29750 30100 34000 36550 37625 40936 43000 47600 51170 58480 59500 60200 73100 75250 81872 86000 91375 102340 119000 120400 127925 146200 150500 182750 204680 238000 255850 292400 301000 365500 409360 511700 602000 639625 731000 1023400 1279250 1462000 2046800 2558500 5117000 10234000