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241024032 = 2533833361
BaseRepresentation
bin11100101110110…
…11110000100000
3121210112021211000
432113123300200
5443200232112
635525552000
75654445654
oct1627336040
9553467730
10241024032
11114062a17
1268875600
133ac1bc92
1424020a64
151625e7dc
hexe5dbc20

241024032 has 96 divisors (see below), whose sum is σ = 711668160. Its totient is φ = 79349760.

The previous prime is 241024013. The next prime is 241024051. The reversal of 241024032 is 230420142.

241024032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241024013) and next prime (241024051).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 241023996 and 241024014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70032 + ... + 73392.

It is an arithmetic number, because the mean of its divisors is an integer number (7413210).

Almost surely, 2241024032 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 241024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355834080).

241024032 is an abundant number, since it is smaller than the sum of its proper divisors (470644128).

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

241024032 is a wasteful number, since it uses less digits than its factorization.

241024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 241024032 is about 15524.9486955674. The cubic root of 241024032 is about 622.3291097176.

Adding to 241024032 its reverse (230420142), we get a palindrome (471444174).

The spelling of 241024032 in words is "two hundred forty-one million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3361 3984 4482 5976 6722 7968 8964 10083 11952 13444 17928 20166 23904 26888 30249 35856 40332 53776 60498 71712 80664 90747 107552 120996 161328 181494 241992 278963 322656 362988 483984 557926 725976 836889 967968 1115852 1451952 1673778 2231704 2510667 2903904 3347556 4463408 5021334 6695112 7532001 8926816 10042668 13390224 15064002 20085336 26780448 30128004 40170672 60256008 80341344 120512016 241024032