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3419908992 = 2733989557
BaseRepresentation
bin1100101111010111…
…1010101110000000
322211100011101012000
43023311322232000
524000444041432
61323204304000
7150514514103
oct31365725600
98740141160
103419908992
1114a54a4275
127b53a2000
134266a69b6
142462b073a
1515038b57c
hexcbd7ab80

3419908992 has 64 divisors (see below), whose sum is σ = 10093491600. Its totient is φ = 1139968512.

The previous prime is 3419908991. The next prime is 3419908997. The reversal of 3419908992 is 2998099143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3419908991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491323 + ... + 498234.

Almost surely, 23419908992 is an apocalyptic number.

3419908992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3419908992 is an abundant number, since it is smaller than the sum of its proper divisors (6673582608).

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

3419908992 is an equidigital number, since it uses as much as digits as its factorization.

3419908992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989580 (or 989562 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 3419908992 is about 58479.9879616951. The cubic root of 3419908992 is about 1506.6238903284.

The spelling of 3419908992 in words is "three billion, four hundred nineteen million, nine hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 989557 1979114 2968671 3958228 5937342 7916456 8906013 11874684 15832912 17812026 23749368 26718039 31665824 35624052 47498736 53436078 63331648 71248104 94997472 106872156 126663296 142496208 189994944 213744312 284992416 379989888 427488624 569984832 854977248 1139969664 1709954496 3419908992