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881114304 = 26371016491
BaseRepresentation
bin110100100001001…
…011110011000000
32021101222020121010
4310201023303000
53301031124204
6223233200520
730556230240
oct6441136300
92241866533
10881114304
11412403244
12207100140
13110713515
1485041b20
155254ad89
hex3484bcc0

881114304 has 112 divisors (see below), whose sum is σ = 2691115776. Its totient is φ = 249216000.

The previous prime is 881114293. The next prime is 881114309. The reversal of 881114304 is 403411188.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (881114309) 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, 132499 + ... + 138989.

Almost surely, 2881114304 is an apocalyptic number.

881114304 is a gapful number since it is divisible by the number (84) 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 881114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345557888).

881114304 is an abundant number, since it is smaller than the sum of its proper divisors (1810001472).

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

881114304 is a wasteful number, since it uses less digits than its factorization.

881114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 881114304 is about 29683.5695966641. The cubic root of 881114304 is about 958.6882779538.

The spelling of 881114304 in words is "eight hundred eighty-one million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 168 192 202 224 303 336 404 448 606 672 707 808 1212 1344 1414 1616 2121 2424 2828 3232 4242 4848 5656 6464 6491 8484 9696 11312 12982 16968 19392 19473 22624 25964 33936 38946 45248 45437 51928 67872 77892 90874 103856 135744 136311 155784 181748 207712 272622 311568 363496 415424 545244 623136 655591 726992 1090488 1246272 1311182 1453984 1966773 2180976 2622364 2907968 3933546 4361952 4589137 5244728 7867092 8723904 9178274 10489456 13767411 15734184 18356548 20978912 27534822 31468368 36713096 41957824 55069644 62936736 73426192 110139288 125873472 146852384 220278576 293704768 440557152 881114304