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234100400 = 2452585251
BaseRepresentation
bin11011111010000…
…01011010110000
3121022111112101012
431331001122300
5434412203100
635121330052
75541551312
oct1575013260
9538445335
10234100400
11110164106
1266496928
1339666761
142313b7b2
1515843135
hexdf416b0

234100400 has 30 divisors (see below), whose sum is σ = 562427172. Its totient is φ = 93640000.

The previous prime is 234100397. The next prime is 234100403. The reversal of 234100400 is 4001432.

234100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234100397) and next prime (234100403).

It is not an unprimeable number, because it can be changed into a prime (234100403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 292226 + ... + 293025.

Almost surely, 2234100400 is an apocalyptic number.

234100400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234100400 is an abundant number, since it is smaller than the sum of its proper divisors (328326772).

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

234100400 is a wasteful number, since it uses less digits than its factorization.

234100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585269 (or 585258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 234100400 is about 15300.3398655063. The cubic root of 234100400 is about 616.3121344967.

Adding to 234100400 its reverse (4001432), we get a palindrome (238101832).

The spelling of 234100400 in words is "two hundred thirty-four million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 585251 1170502 2341004 2926255 4682008 5852510 9364016 11705020 14631275 23410040 29262550 46820080 58525100 117050200 234100400