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243900904 = 231317296771
BaseRepresentation
bin11101000100110…
…10000111101000
3121222221110010211
432202122013220
5444414312104
640111350504
76021060232
oct1642320750
9558843124
10243900904
111157483a5
1269822434
133b6b8580
142456d252
151662be04
hexe89a1e8

243900904 has 128 divisors (see below), whose sum is σ = 555206400. Its totient is φ = 99348480.

The previous prime is 243900883. The next prime is 243900941. The reversal of 243900904 is 409009342.

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 31 ways as a sum of consecutive naturals, for example, 3435189 + ... + 3435259.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2243900904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243900904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

243900904 is an abundant number, since it is smaller than the sum of its proper divisors (311305496).

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

243900904 is a wasteful number, since it uses less digits than its factorization.

243900904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 243900904 is about 15617.3270440239. The cubic root of 243900904 is about 624.7953710905.

The spelling of 243900904 in words is "two hundred forty-three million, nine hundred thousand, nine hundred four".

Divisors: 1 2 4 8 13 17 26 29 34 52 58 67 68 71 104 116 134 136 142 221 232 268 284 377 442 493 536 568 754 871 884 923 986 1139 1207 1508 1742 1768 1846 1943 1972 2059 2278 2414 3016 3484 3692 3886 3944 4118 4556 4757 4828 6409 6968 7384 7772 8236 9112 9514 9656 12818 14807 15544 15691 16472 19028 25259 25636 26767 29614 31382 33031 35003 38056 50518 51272 53534 59228 61841 62764 66062 70006 80869 101036 107068 118456 123682 125528 132124 137953 140012 161738 202072 214136 247364 264248 275906 280024 323476 429403 455039 494728 551812 646952 858806 910078 1051297 1103624 1717612 1793389 1820156 2102594 2345201 3435224 3586778 3640312 4205188 4690402 7173556 8410376 9380804 14347112 18761608 30487613 60975226 121950452 243900904