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242350440 = 23352019587
BaseRepresentation
bin11100111000111…
…11100101101000
3121220000200022020
432130133211220
5444020203230
640014224440
76001642023
oct1634374550
9556020266
10242350440
11114889522
12691b5120
133b294937
14242881ba
1516422810
hexe71f968

242350440 has 32 divisors (see below), whose sum is σ = 727051680. Its totient is φ = 64626752.

The previous prime is 242350403. The next prime is 242350441. The reversal of 242350440 is 44053242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242350440.

It is not an unprimeable number, because it can be changed into a prime (242350441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1009674 + ... + 1009913.

It is an arithmetic number, because the mean of its divisors is an integer number (22720365).

Almost surely, 2242350440 is an apocalyptic number.

242350440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242350440 is an abundant number, since it is smaller than the sum of its proper divisors (484701240).

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

242350440 is a wasteful number, since it uses less digits than its factorization.

242350440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019601 (or 2019597 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 242350440 is about 15567.6086795628. The cubic root of 242350440 is about 623.4686263628.

The spelling of 242350440 in words is "two hundred forty-two million, three hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2019587 4039174 6058761 8078348 10097935 12117522 16156696 20195870 24235044 30293805 40391740 48470088 60587610 80783480 121175220 242350440