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234015040 = 2657104471
BaseRepresentation
bin11011111001011…
…00100101000000
3121022100012021201
431330230211000
5434401440130
635115430544
75541044410
oct1574544500
9538305251
10234015040
11110105a66
1266455454
133963694c
1423118640
1515827bca
hexdf2c940

234015040 has 56 divisors (see below), whose sum is σ = 636861312. Its totient is φ = 80232960.

The previous prime is 234015031. The next prime is 234015053. The reversal of 234015040 is 40510432.

234015040 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 (56).

It is a junction number, because it is equal to n+sod(n) for n = 234014999 and 234015017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49996 + ... + 54475.

Almost surely, 2234015040 is an apocalyptic number.

234015040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234015040 is an abundant number, since it is smaller than the sum of its proper divisors (402846272).

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

234015040 is a wasteful number, since it uses less digits than its factorization.

234015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104495 (or 104485 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 234015040 is about 15297.5501306582. The cubic root of 234015040 is about 616.2372167843.

Adding to 234015040 its reverse (40510432), we get a palindrome (274525472).

It can be divided in two parts, 23401 and 5040, that added together give a triangular number (28441 = T238).

The spelling of 234015040 in words is "two hundred thirty-four million, fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 104471 208942 417884 522355 731297 835768 1044710 1462594 1671536 2089420 2925188 3343072 3656485 4178840 5850376 6686144 7312970 8357680 11700752 14625940 16715360 23401504 29251880 33430720 46803008 58503760 117007520 234015040