[go: up one dir, main page]

Search a number
-
+
114234000 = 2435379241
BaseRepresentation
bin1101100111100…
…01001010010000
321221221200120220
412303301022100
5213220442000
615200233040
72554654506
oct663611220
9257850526
10114234000
1159533771
123230b780
131a8885aa
1411258676
15a0671a0
hex6cf1290

114234000 has 160 divisors (see below), whose sum is σ = 374499840. Its totient is φ = 29952000.

The previous prime is 114233993. The next prime is 114234053. The reversal of 114234000 is 432411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 473880 + ... + 474120.

It is an arithmetic number, because the mean of its divisors is an integer number (2340624).

Almost surely, 2114234000 is an apocalyptic number.

114234000 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 114234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187249920).

114234000 is an abundant number, since it is smaller than the sum of its proper divisors (260265840).

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

114234000 is a wasteful number, since it uses less digits than its factorization.

114234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 114234000 is about 10688.0306885787. The cubic root of 114234000 is about 485.2122923675.

Adding to 114234000 its reverse (432411), we get a palindrome (114666411).

The spelling of 114234000 in words is "one hundred fourteen million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 79 80 100 120 125 150 158 200 237 240 241 250 300 316 375 395 400 474 482 500 600 632 723 750 790 948 964 1000 1185 1200 1205 1264 1446 1500 1580 1896 1928 1975 2000 2370 2410 2892 3000 3160 3615 3792 3856 3950 4740 4820 5784 5925 6000 6025 6320 7230 7900 9480 9640 9875 11568 11850 12050 14460 15800 18075 18960 19039 19280 19750 23700 24100 28920 29625 30125 31600 36150 38078 39500 47400 48200 57117 57840 59250 60250 72300 76156 79000 90375 94800 95195 96400 114234 118500 120500 144600 152312 158000 180750 190390 228468 237000 241000 285585 289200 304624 361500 380780 456936 474000 475975 482000 571170 723000 761560 913872 951950 1142340 1427925 1446000 1523120 1903900 2284680 2379875 2855850 3807800 4569360 4759750 5711700 7139625 7615600 9519500 11423400 14279250 19039000 22846800 28558500 38078000 57117000 114234000