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30241002352 = 24111396191997
BaseRepresentation
bin11100001010100000…
…010001001101110000
32220001112210002110011
4130022200101031300
5443413144033402
621520441344304
72120254164421
oct341240211560
986045702404
1030241002352
1111909291730
125a3b798094
132b0c2a7242
14166c461648
15bbed81ed7
hex70a811370

30241002352 has 80 divisors (see below), whose sum is σ = 64514620800. Its totient is φ = 13618149120.

The previous prime is 30241002317. The next prime is 30241002359. The reversal of 30241002352 is 25320014203.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30241002359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15142218 + ... + 15144214.

It is an arithmetic number, because the mean of its divisors is an integer number (806432760).

Almost surely, 230241002352 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 30241002352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32257310400).

30241002352 is an abundant number, since it is smaller than the sum of its proper divisors (34273618448).

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

30241002352 is a wasteful number, since it uses less digits than its factorization.

30241002352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 30241002352 its reverse (25320014203), we get a palindrome (55561016555).

The spelling of 30241002352 in words is "thirty billion, two hundred forty-one million, two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 556 619 1112 1238 1529 1997 2224 2476 3058 3994 4952 6116 6809 7988 9904 12232 13618 15976 21967 24464 27236 31952 43934 54472 86041 87868 108944 172082 175736 277583 344164 351472 555166 688328 946451 1110332 1236143 1376656 1892902 2220664 2472286 3053413 3785804 4441328 4944572 6106826 7571608 9889144 12213652 13597573 15143216 19778288 24427304 27195146 48854608 54390292 108780584 171823877 217561168 343647754 687295508 1374591016 1890062647 2749182032 3780125294 7560250588 15120501176 30241002352