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234869400 = 233252130483
BaseRepresentation
bin11011111111111…
…01001010011000
3121100221121020200
431333331022120
5440111310100
635150022200
75551233303
oct1577751230
9540847220
10234869400
11110639947
12667a7960
133987579c
142329bb3a
1515945e00
hexdffd298

234869400 has 72 divisors (see below), whose sum is σ = 788775780. Its totient is φ = 62631360.

The previous prime is 234869381. The next prime is 234869407. The reversal of 234869400 is 4968432.

It is a happy number.

234869400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234869407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63442 + ... + 67041.

Almost surely, 2234869400 is an apocalyptic number.

234869400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234869400 is an abundant number, since it is smaller than the sum of its proper divisors (553906380).

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

234869400 is a wasteful number, since it uses less digits than its factorization.

234869400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130505 (or 130493 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 234869400 is about 15325.4494224476. The cubic root of 234869400 is about 616.9862413060.

The spelling of 234869400 in words is "two hundred thirty-four million, eight hundred sixty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 130483 260966 391449 521932 652415 782898 1043864 1174347 1304830 1565796 1957245 2348694 2609660 3131592 3262075 3914490 4697388 5219320 5871735 6524150 7828980 9394776 9786225 11743470 13048300 15657960 19572450 23486940 26096600 29358675 39144900 46973880 58717350 78289800 117434700 234869400