Search a number
-
+
3091969408 = 271119412819
BaseRepresentation
bin1011100001001011…
…1011010110000000
321222111002022122111
42320102323112000
522313021010113
61230451345104
7136423210033
oct27022732600
97874068574
103091969408
111347377420
127235b2194
133a37759c8
1421490701a
151316ae13d
hexb84bb580

3091969408 has 128 divisors (see below), whose sum is σ = 7248528000. Its totient is φ = 1298534400.

The previous prime is 3091969379. The next prime is 3091969409. The reversal of 3091969408 is 8049691903.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3091969409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095423 + ... + 1098241.

It is an arithmetic number, because the mean of its divisors is an integer number (56629125).

Almost surely, 23091969408 is an apocalyptic number.

3091969408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3091969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624264000).

3091969408 is an abundant number, since it is smaller than the sum of its proper divisors (4156558592).

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

3091969408 is a wasteful number, since it uses less digits than its factorization.

3091969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 3091969408 is about 55605.4800177105. The cubic root of 3091969408 is about 1456.8395713349.

The spelling of 3091969408 in words is "three billion, ninety-one million, nine hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 41 44 64 76 82 88 128 152 164 176 209 304 328 352 418 451 608 656 704 779 836 902 1216 1312 1408 1558 1672 1804 2432 2624 2819 3116 3344 3608 5248 5638 6232 6688 7216 8569 11276 12464 13376 14432 17138 22552 24928 26752 28864 31009 34276 45104 49856 53561 57728 62018 68552 90208 99712 107122 115579 124036 137104 180416 214244 231158 248072 274208 360832 428488 462316 496144 548416 589171 856976 924632 992288 1096832 1178342 1271369 1713952 1849264 1984576 2196001 2356684 2542738 3427904 3698528 3969152 4392002 4713368 5085476 6855808 7397056 8784004 9426736 10170952 14794112 17568008 18853472 20341904 24156011 35136016 37706944 40683808 48312022 70272032 75413888 81367616 96624044 140544064 162735232 193248088 281088128 386496176 772992352 1545984704 3091969408