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3368830432 = 251117562973
BaseRepresentation
bin1100100011001100…
…0100010111100000
322200210001022120111
43020303010113200
523344410033212
61314141421104
7146324405032
oct31063042740
98623038514
103368830432
111479687190
127a026a794
13418c316b6
1423d5b5c52
1514ab4bea7
hexc8cc45e0

3368830432 has 48 divisors (see below), whose sum is σ = 7660950192. Its totient is φ = 1441208320.

The previous prime is 3368830429. The next prime is 3368830459. The reversal of 3368830432 is 2340388633.

It is a super-2 number, since 2×33688304322 = 22698036959138613248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 275503 + ... + 287470.

It is an arithmetic number, because the mean of its divisors is an integer number (159603129).

Almost surely, 23368830432 is an apocalyptic number.

3368830432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3368830432 is an abundant number, since it is smaller than the sum of its proper divisors (4292119760).

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

3368830432 is a wasteful number, since it uses less digits than its factorization.

3368830432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563011 (or 563003 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 3368830432 is about 58041.6267173828. The cubic root of 3368830432 is about 1499.0854324167.

The spelling of 3368830432 in words is "three billion, three hundred sixty-eight million, eight hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 562973 1125946 2251892 4503784 6192703 9007568 9570541 12385406 18015136 19141082 24770812 38282164 49541624 76564328 99083248 105275951 153128656 198166496 210551902 306257312 421103804 842207608 1684415216 3368830432