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831481344 = 2932199497
BaseRepresentation
bin110001100011110…
…110011000000000
32010221120121222100
4301203312120000
53200324400334
6214301310400
726414321601
oct6143663000
92127517870
10831481344
11397393271
121b2565400
131033561c5
147c601da8
154cee4c99
hex318f6600

831481344 has 120 divisors (see below), whose sum is σ = 2526278040. Its totient is φ = 262545408.

The previous prime is 831481333. The next prime is 831481351. The reversal of 831481344 is 443184138.

It is a super-2 number, since 2×8314813442 = 1382722450840092672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 831481299 and 831481308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82804 + ... + 92300.

It is an arithmetic number, because the mean of its divisors is an integer number (21052317).

Almost surely, 2831481344 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 831481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263139020).

831481344 is an abundant number, since it is smaller than the sum of its proper divisors (1694796696).

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

831481344 is a wasteful number, since it uses less digits than its factorization.

831481344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9540 (or 9521 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 831481344 is about 28835.4182213472. The cubic root of 831481344 is about 940.3383963472.

The spelling of 831481344 in words is "eight hundred thirty-one million, four hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9497 9728 10944 14592 18994 21888 28491 29184 37988 43776 56982 75976 85473 87552 113964 151952 170946 180443 227928 303904 341892 360886 455856 541329 607808 683784 721772 911712 1082658 1215616 1367568 1443544 1623987 1823424 2165316 2431232 2735136 2887088 3247974 3646848 4330632 4862464 5470272 5774176 6495948 7293696 8661264 10940544 11548352 12991896 14587392 17322528 21881088 23096704 25983792 34645056 43762176 46193408 51967584 69290112 92386816 103935168 138580224 207870336 277160448 415740672 831481344