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1058347344 = 243293312297
BaseRepresentation
bin111111000101010…
…001100101010000
32201202110121121210
4333011101211100
54131414103334
6253004020120
735140542525
oct7705214520
92652417553
101058347344
114a345602a
12256531640
1313b358b42
14a07b914c
1562da95e9
hex3f151950

1058347344 has 80 divisors (see below), whose sum is σ = 2838121920. Its totient is φ = 339440640.

The previous prime is 1058347307. The next prime is 1058347361. The reversal of 1058347344 is 4437438501.

It is a super-2 number, since 2×10583473442 = 2240198201103708672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459604 + ... + 461900.

It is an arithmetic number, because the mean of its divisors is an integer number (35476524).

Almost surely, 21058347344 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 1058347344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419060960).

1058347344 is an abundant number, since it is smaller than the sum of its proper divisors (1779774576).

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

1058347344 is a wasteful number, since it uses less digits than its factorization.

1058347344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 1058347344 is about 32532.2508289851. The cubic root of 1058347344 is about 1019.0826508047.

The spelling of 1058347344 in words is "one billion, fifty-eight million, three hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 331 348 464 662 696 993 1324 1392 1986 2297 2648 3972 4594 5296 6891 7944 9188 9599 13782 15888 18376 19198 27564 28797 36752 38396 55128 57594 66613 76792 110256 115188 133226 153584 199839 230376 266452 399678 460752 532904 760307 799356 1065808 1520614 1598712 2280921 3041228 3197424 4561842 6082456 9123684 12164912 18247368 22048903 36494736 44097806 66146709 88195612 132293418 176391224 264586836 352782448 529173672 1058347344