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3230324344032 = 253487673102667
BaseRepresentation
bin101111000000011110010…
…101011100010011100000
3102102211000212011020200120
4233000132111130103200
5410411201013002112
610511553541320240
7452245306610262
oct57003625342340
912384025136616
103230324344032
111035a77972425
12442085106080
131a58064866c6
14b24c4531b32
155906500de8c
hex2f01e55c4e0

3230324344032 has 96 divisors (see below), whose sum is σ = 8509721778432. Its totient is φ = 1072956616704.

The previous prime is 3230324344031. The next prime is 3230324344033. The reversal of 3230324344032 is 2304434230323.

It is an interprime number because it is at equal distance from previous prime (3230324344031) and next prime (3230324344033).

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

It is a junction number, because it is equal to n+sod(n) for n = 3230324343984 and 3230324344002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230324344031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31412763 + ... + 31515429.

It is an arithmetic number, because the mean of its divisors is an integer number (88642935192).

Almost surely, 23230324344032 is an apocalyptic number.

3230324344032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3230324344032 is an abundant number, since it is smaller than the sum of its proper divisors (5279397434400).

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

3230324344032 is a wasteful number, since it uses less digits than its factorization.

3230324344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103840 (or 103832 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 33.

Adding to 3230324344032 its reverse (2304434230323), we get a palindrome (5534758574355).

The spelling of 3230324344032 in words is "three trillion, two hundred thirty billion, three hundred twenty-four million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 487 673 974 1346 1461 1948 2019 2692 2922 3896 4038 5384 5844 7792 8076 10768 11688 15584 16152 21536 23376 32304 46752 64608 102667 205334 308001 327751 410668 616002 655502 821336 983253 1232004 1311004 1642672 1966506 2464008 2622008 3285344 3933012 4928016 5244016 7866024 9856032 10488032 15732048 31464096 49998829 69094891 99997658 138189782 149996487 199995316 207284673 276379564 299992974 399990632 414569346 552759128 599985948 799981264 829138692 1105518256 1199971896 1599962528 1658277384 2211036512 2399943792 3316554768 4799887584 6633109536 33649211917 67298423834 100947635751 134596847668 201895271502 269193695336 403790543004 538387390672 807581086008 1076774781344 1615162172016 3230324344032