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234100000 = 25552341
BaseRepresentation
bin11011111010000…
…01010100100000
3121022111111211101
431331001110200
5434412200000
635121324144
75541550201
oct1575012440
9538444741
10234100000
11110163882
1266496654
1339666514
142313b5a8
1515842e6a
hexdf41520

234100000 has 72 divisors (see below), whose sum is σ = 576314676. Its totient is φ = 93600000.

The previous prime is 234099991. The next prime is 234100039. The reversal of 234100000 is 1432.

It can be written as a sum of positive squares in 6 ways, for example, as 17539344 + 216560656 = 4188^2 + 14716^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 234100000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98830 + ... + 101170.

Almost surely, 2234100000 is an apocalyptic number.

234100000 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 234100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288157338).

234100000 is an abundant number, since it is smaller than the sum of its proper divisors (342214676).

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

234100000 is an frugal number, since it uses more digits than its factorization.

234100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2348 counting only the distinct ones).

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

The square root of 234100000 is about 15300.3267938956. The cubic root of 234100000 is about 616.3117834721.

Adding to 234100000 its reverse (1432), we get a palindrome (234101432).

The spelling of 234100000 in words is "two hundred thirty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2341 2500 3125 4000 4682 5000 6250 9364 10000 11705 12500 18728 20000 23410 25000 37456 46820 50000 58525 74912 93640 100000 117050 187280 234100 292625 374560 468200 585250 936400 1170500 1463125 1872800 2341000 2926250 4682000 5852500 7315625 9364000 11705000 14631250 23410000 29262500 46820000 58525000 117050000 234100000