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254342000 = 24531121051
BaseRepresentation
bin11110010100011…
…11001101110000
3122201120220122002
433022033031300
51010102421000
641123233132
76205604603
oct1712171560
9581526562
10254342000
11120629a00
12712187a8
1340902b33
1425aca33a
15174e08d5
hexf28f370

254342000 has 120 divisors (see below), whose sum is σ = 676633776. Its totient is φ = 92400000.

The previous prime is 254341943. The next prime is 254342003. The reversal of 254342000 is 243452.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254342003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241475 + ... + 242525.

Almost surely, 2254342000 is an apocalyptic number.

254342000 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 254342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338316888).

254342000 is an abundant number, since it is smaller than the sum of its proper divisors (422291776).

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

254342000 is a wasteful number, since it uses less digits than its factorization.

254342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 254342000 is about 15948.1033355067. The cubic root of 254342000 is about 633.5866638139.

Adding to 254342000 its reverse (243452), we get a palindrome (254585452).

The spelling of 254342000 in words is "two hundred fifty-four million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1051 1100 1210 1375 1936 2000 2102 2200 2420 2750 3025 4204 4400 4840 5255 5500 6050 8408 9680 10510 11000 11561 12100 15125 16816 21020 22000 23122 24200 26275 30250 42040 46244 48400 52550 57805 60500 84080 92488 105100 115610 121000 127171 131375 184976 210200 231220 242000 254342 262750 289025 420400 462440 508684 525500 578050 635855 924880 1017368 1051000 1156100 1271710 1445125 2034736 2102000 2312200 2543420 2890250 3179275 4624400 5086840 5780500 6358550 10173680 11561000 12717100 15896375 23122000 25434200 31792750 50868400 63585500 127171000 254342000