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1241030304 = 253238311251
BaseRepresentation
bin100100111111000…
…1001111010100000
310012111012212112100
41021332021322200
510020200432204
6323051330400
742516404103
oct11176117240
93174185470
101241030304
11587590488
122a7750a00
1316a15bc77
14bab7073a
1573e42a39
hex49f89ea0

1241030304 has 72 divisors (see below), whose sum is σ = 3538708992. Its totient is φ = 412560000.

The previous prime is 1241030303. The next prime is 1241030333. The reversal of 1241030304 is 4030301421.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (1241030303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104679 + ... + 115929.

It is an arithmetic number, because the mean of its divisors is an integer number (49148736).

Almost surely, 21241030304 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 1241030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769354496).

1241030304 is an abundant number, since it is smaller than the sum of its proper divisors (2297678688).

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

1241030304 is a wasteful number, since it uses less digits than its factorization.

1241030304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1241030304 is about 35228.2600194787. The cubic root of 1241030304 is about 1074.6345407078.

Adding to 1241030304 its reverse (4030301421), we get a palindrome (5271331725).

The spelling of 1241030304 in words is "one billion, two hundred forty-one million, thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 383 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 11251 12256 13788 18384 22502 27576 33753 36768 45004 55152 67506 90008 101259 110304 135012 180016 202518 270024 360032 405036 540048 810072 1080096 1620144 3240288 4309133 8618266 12927399 17236532 25854798 34473064 38782197 51709596 68946128 77564394 103419192 137892256 155128788 206838384 310257576 413676768 620515152 1241030304