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241494144 = 273837577
BaseRepresentation
bin11100110010011…
…10100010000000
3121211102011200120
432121032202000
5443310303034
635544020240
75661444363
oct1631164200
9554364616
10241494144
11114354141
1268a61680
133b054c58
14241040da
1516303c49
hexe64e880

241494144 has 64 divisors (see below), whose sum is σ = 649283040. Its totient is φ = 79517696.

The previous prime is 241494119. The next prime is 241494167. The reversal of 241494144 is 441494142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28084 + ... + 35660.

Almost surely, 2241494144 is an apocalyptic number.

241494144 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 241494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324641520).

241494144 is an abundant number, since it is smaller than the sum of its proper divisors (407788896).

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

241494144 is an equidigital number, since it uses as much as digits as its factorization.

241494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7677 (or 7665 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 241494144 is about 15540.0818530663. The cubic root of 241494144 is about 622.7334599566.

The spelling of 241494144 in words is "two hundred forty-one million, four hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3984 5312 7577 7968 10624 15154 15936 22731 30308 31872 45462 60616 90924 121232 181848 242464 363696 484928 628891 727392 969856 1257782 1454784 1886673 2515564 2909568 3773346 5031128 7546692 10062256 15093384 20124512 30186768 40249024 60373536 80498048 120747072 241494144