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3097995776 = 2961281353
BaseRepresentation
bin1011100010100111…
…1010101000000000
321222220102111021022
42320221322220000
522321041331101
61231224445012
7136525346441
oct27051725000
97886374238
103097995776
11134a813097
12725619768
133a4aa59c5
142156352c8
15131e9ea1b
hexb8a7aa00

3097995776 has 80 divisors (see below), whose sum is σ = 6331690728. Its totient is φ = 1513881600.

The previous prime is 3097995763. The next prime is 3097995779. The reversal of 3097995776 is 6775997903.

It can be written as a sum of positive squares in 4 ways, for example, as 1957177600 + 1140818176 = 44240^2 + 33776^2 .

It is a super-2 number, since 2×30979957762 = 19195155656227684352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3097995779) 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, 8776016 + ... + 8776368.

Almost surely, 23097995776 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 3097995776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165845364).

3097995776 is an abundant number, since it is smaller than the sum of its proper divisors (3233694952).

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

3097995776 is an equidigital number, since it uses as much as digits as its factorization.

3097995776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 22504230, while the sum is 62.

The square root of 3097995776 is about 55659.6422554080. The cubic root of 3097995776 is about 1457.7854359877.

The spelling of 3097995776 in words is "three billion, ninety-seven million, nine hundred ninety-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 281 353 488 512 562 706 976 1124 1412 1952 2248 2824 3904 4496 5648 7808 8992 11296 15616 17141 17984 21533 22592 31232 34282 35968 43066 45184 68564 71936 86132 90368 99193 137128 143872 172264 180736 198386 274256 344528 396772 548512 689056 793544 1097024 1378112 1587088 2194048 2756224 3174176 4388096 5512448 6050773 6348352 8776192 11024896 12101546 12696704 24203092 25393408 48406184 50786816 96812368 193624736 387249472 774498944 1548997888 3097995776