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3340830976 = 287338047
BaseRepresentation
bin1100011100100001…
…0000100100000000
322121211100210112121
43013020100210000
523320223042401
61311301334024
7145534411000
oct30710204400
98554323477
103340830976
1114648a283a
12792a07314
134131aa182
142399a8000
1514846aca1
hexc7210900

3340830976 has 72 divisors (see below), whose sum is σ = 7777011200. Its totient is φ = 1431747072.

The previous prime is 3340830919. The next prime is 3340830979. The reversal of 3340830976 is 6790380433.

It is a super-2 number, since 2×33408309762 = 22322303220402225152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3340830979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68785 + ... + 106831.

Almost surely, 23340830976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340830976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888505600).

3340830976 is an abundant number, since it is smaller than the sum of its proper divisors (4436180224).

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

3340830976 is an frugal number, since it uses more digits than its factorization.

3340830976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38084 (or 38056 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The square root of 3340830976 is about 57799.9219376635. The cubic root of 3340830976 is about 1494.9207425460.

The spelling of 3340830976 in words is "three billion, three hundred forty million, eight hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1792 2744 3136 5488 6272 10976 12544 21952 38047 43904 76094 87808 152188 266329 304376 532658 608752 1065316 1217504 1864303 2130632 2435008 3728606 4261264 4870016 7457212 8522528 9740032 13050121 14914424 17045056 26100242 29828848 34090112 52200484 59657696 68180224 104400968 119315392 208801936 238630784 417603872 477261568 835207744 1670415488 3340830976