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814483328 = 27172912907
BaseRepresentation
bin110000100011000…
…000011110000000
32002202121001002012
4300203000132000
53132001431303
6212453112052
726116664651
oct6043003600
92082531065
10814483328
1138883341a
121a8928628
13cc9842c9
147a259528
154b7885d8
hex308c0780

814483328 has 64 divisors (see below), whose sum is σ = 1777431600. Its totient is φ = 370040832.

The previous prime is 814483297. The next prime is 814483333. The reversal of 814483328 is 823384418.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56651 + ... + 69557.

Almost surely, 2814483328 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 814483328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888715800).

814483328 is an abundant number, since it is smaller than the sum of its proper divisors (962948272).

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

814483328 is a wasteful number, since it uses less digits than its factorization.

814483328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12967 (or 12955 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 814483328 is about 28539.1542972107. The cubic root of 814483328 is about 933.8864331622.

The spelling of 814483328 in words is "eight hundred fourteen million, four hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 464 493 544 928 986 1088 1856 1972 2176 3712 3944 7888 12907 15776 25814 31552 51628 63104 103256 206512 219419 374303 413024 438838 748606 826048 877676 1497212 1652096 1755352 2994424 3510704 5988848 6363151 7021408 11977696 12726302 14042816 23955392 25452604 28085632 47910784 50905208 101810416 203620832 407241664 814483328