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816952344 = 233137335869
BaseRepresentation
bin110000101100011…
…011010000011000
32002221020110221020
4300230123100120
53133114433334
6213022042440
726146660155
oct6054332030
92087213836
10816952344
1138a16a42a
121a9719420
1310033a070
147a6dd22c
154bac4e49
hex30b1b418

816952344 has 64 divisors (see below), whose sum is σ = 2229679200. Its totient is φ = 247919616.

The previous prime is 816952327. The next prime is 816952349. The reversal of 816952344 is 443259618.

It is a super-2 number, since 2×8169523442 = 1334822264734188672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 816952296 and 816952305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816952349) 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, 4842 + ... + 40710.

Almost surely, 2816952344 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 816952344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114839600).

816952344 is an abundant number, since it is smaller than the sum of its proper divisors (1412726856).

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

816952344 is a wasteful number, since it uses less digits than its factorization.

816952344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35964 (or 35960 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 816952344 is about 28582.3782075600. The cubic root of 816952344 is about 934.8291389964.

The spelling of 816952344 in words is "eight hundred sixteen million, nine hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2847 3796 5694 7592 11388 22776 35869 71738 107607 143476 215214 286952 430428 466297 860856 932594 1398891 1865188 2618437 2797782 3730376 5236874 5595564 7855311 10473748 11191128 15710622 20947496 31421244 34039681 62842488 68079362 102119043 136158724 204238086 272317448 408476172 816952344