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3379842240 = 26353520669
BaseRepresentation
bin1100100101110100…
…0100110011000000
322201112202202221020
43021131010303000
523410214422430
61315213425440
7146520120315
oct31135046300
98645682836
103379842240
111484918555
127a3a9b280
1341b2b8968
14240c40d0c
1514bac4b10
hexc9744cc0

3379842240 has 56 divisors (see below), whose sum is σ = 10731002160. Its totient is φ = 901291008.

The previous prime is 3379842229. The next prime is 3379842241. The reversal of 3379842240 is 422489733.

It is a super-2 number, since 2×33798422402 = 22846667134576435200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3379842192 and 3379842201.

It is not an unprimeable number, because it can be changed into a prime (3379842241) 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, 1759375 + ... + 1761294.

Almost surely, 23379842240 is an apocalyptic number.

3379842240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3379842240 is an abundant number, since it is smaller than the sum of its proper divisors (7351159920).

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

3379842240 is a wasteful number, since it uses less digits than its factorization.

3379842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520689 (or 3520679 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3379842240 is about 58136.4106219158. The cubic root of 3379842240 is about 1500.7170260833.

The spelling of 3379842240 in words is "three billion, three hundred seventy-nine million, eight hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3520669 7041338 10562007 14082676 17603345 21124014 28165352 35206690 42248028 52810035 56330704 70413380 84496056 105620070 112661408 140826760 168992112 211240140 225322816 281653520 337984224 422480280 563307040 675968448 844960560 1126614080 1689921120 3379842240