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234030400 = 26521071367
BaseRepresentation
bin11011111001100…
…00010101000000
3121022100222100121
431330300111000
5434402433100
635120030024
75541140242
oct1574602500
9538328317
10234030400
1111011655a
1266462314
1339640936
1423120092
151582c51a
hexdf30540

234030400 has 84 divisors (see below), whose sum is σ = 581668128. Its totient is φ = 92669440.

The previous prime is 234030383. The next prime is 234030409. The reversal of 234030400 is 4030432.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234030409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170517 + ... + 171883.

Almost surely, 2234030400 is an apocalyptic number.

234030400 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 234030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290834064).

234030400 is an abundant number, since it is smaller than the sum of its proper divisors (347637728).

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

234030400 is a wasteful number, since it uses less digits than its factorization.

234030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 234030400 is about 15298.0521635926. The cubic root of 234030400 is about 616.2506991038.

Adding to 234030400 its reverse (4030432), we get a palindrome (238060832).

The spelling of 234030400 in words is "two hundred thirty-four million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 160 200 214 320 400 428 535 800 856 1070 1367 1600 1712 2140 2675 2734 3424 4280 5350 5468 6835 6848 8560 10700 10936 13670 17120 21400 21872 27340 34175 34240 42800 43744 54680 68350 85600 87488 109360 136700 146269 171200 218720 273400 292538 437440 546800 585076 731345 1093600 1170152 1462690 2187200 2340304 2925380 3656725 4680608 5850760 7313450 9361216 11701520 14626900 23403040 29253800 46806080 58507600 117015200 234030400