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243245904 = 243111924247
BaseRepresentation
bin11100111111110…
…10001101010000
3121221201011122120
432133322031100
5444232332104
640045334240
76012361506
oct1637721520
9557634576
10243245904
11115340280
1269567380
133b5193b5
142443c676
151654ccd9
hexe7fa350

243245904 has 80 divisors (see below), whose sum is σ = 721620480. Its totient is φ = 69828480.

The previous prime is 243245903. The next prime is 243245917. The reversal of 243245904 is 409542342.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243245903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2092 + ... + 22155.

It is an arithmetic number, because the mean of its divisors is an integer number (9020256).

Almost surely, 2243245904 is an apocalyptic number.

243245904 is a gapful number since it is divisible by the number (24) 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 243245904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360810240).

243245904 is an abundant number, since it is smaller than the sum of its proper divisors (478374576).

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

243245904 is a wasteful number, since it uses less digits than its factorization.

243245904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24288 (or 24282 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 243245904 is about 15596.3426481980. The cubic root of 243245904 is about 624.2355701631.

The spelling of 243245904 in words is "two hundred forty-three million, two hundred forty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 24247 48494 72741 96988 145482 193976 266717 290964 387952 460693 533434 581928 800151 921386 1066868 1163856 1382079 1600302 1842772 2133736 2764158 3200604 3685544 4267472 5067623 5528316 6401208 7371088 10135246 11056632 12802416 15202869 20270492 22113264 30405738 40540984 60811476 81081968 121622952 243245904