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823460416 = 261722112
BaseRepresentation
bin110001000101010…
…000001001000000
32010101111010022221
4301011100021000
53141301213131
6213413340424
726256204142
oct6105201100
92111433287
10823460416
11392904aa9
121ab937714
131017a83ac
147b514c92
154c45d411
hex31150240

823460416 has 63 divisors (see below), whose sum is σ = 1744094937. Its totient is φ = 385674240.

The previous prime is 823460387. The next prime is 823460431. The reversal of 823460416 is 614064328.

The square root of 823460416 is 28696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 641102400 + 182358016 = 25320^2 + 13504^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3902551 + ... + 3902761.

Almost surely, 2823460416 is an apocalyptic number.

823460416 is the 28696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823460416

823460416 is an abundant number, since it is smaller than the sum of its proper divisors (920634521).

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

823460416 is an equidigital number, since it uses as much as digits as its factorization.

823460416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The cubic root of 823460416 is about 937.3049468222.

The spelling of 823460416 in words is "eight hundred twenty-three million, four hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 211 272 289 422 544 578 844 1088 1156 1688 2312 3376 3587 4624 6752 7174 9248 13504 14348 18496 28696 44521 57392 60979 89042 114784 121958 178084 229568 243916 356168 487832 712336 756857 975664 1424672 1513714 1951328 2849344 3027428 3902656 6054856 12109712 12866569 24219424 25733138 48438848 51466276 102932552 205865104 411730208 823460416