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3409264992 = 25375073311
BaseRepresentation
bin1100101100110101…
…0100000101100000
322210121010121100210
43023031110011200
523440232434432
61322144214120
7150325163040
oct31315240540
98717117323
103409264992
11149a494281
127b190a340
1342441ac83
14244add720
1514e4878cc
hexcb354160

3409264992 has 48 divisors (see below), whose sum is σ = 10227796992. Its totient is φ = 974075520.

The previous prime is 3409264931. The next prime is 3409264993. The reversal of 3409264992 is 2994629043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3409264993) 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 7 ways as a sum of consecutive naturals, for example, 2535984 + ... + 2537327.

It is an arithmetic number, because the mean of its divisors is an integer number (213079104).

Almost surely, 23409264992 is an apocalyptic number.

3409264992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3409264992 is an abundant number, since it is smaller than the sum of its proper divisors (6818532000).

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

3409264992 is a wasteful number, since it uses less digits than its factorization.

3409264992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073331 (or 5073323 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 3409264992 is about 58388.9115500537. The cubic root of 3409264992 is about 1505.0592121750.

The spelling of 3409264992 in words is "three billion, four hundred nine million, two hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5073311 10146622 15219933 20293244 30439866 35513177 40586488 60879732 71026354 81172976 106539531 121759464 142052708 162345952 213079062 243518928 284105416 426158124 487037856 568210832 852316248 1136421664 1704632496 3409264992