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58244340 = 223572111801
BaseRepresentation
bin1101111000101…
…1110011110100
311001121010012210
43132023303310
5104402304330
65440213420
71305032400
oct336136364
9131533183
1058244340
112a971920
121760a270
13c0b3b0b
147a42100
1551a78b0
hex378bcf4

58244340 has 144 divisors (see below), whose sum is σ = 207071424. Its totient is φ = 12096000.

The previous prime is 58244339. The next prime is 58244357. The reversal of 58244340 is 4344285.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 58244298 and 58244307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31440 + ... + 33240.

It is an arithmetic number, because the mean of its divisors is an integer number (1437996).

Almost surely, 258244340 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 58244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103535712).

58244340 is an abundant number, since it is smaller than the sum of its proper divisors (148827084).

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

58244340 is a wasteful number, since it uses less digits than its factorization.

58244340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 58244340 is about 7631.7979533004. The cubic root of 58244340 is about 387.6304715005.

The spelling of 58244340 in words is "fifty-eight million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 1801 2156 2310 2695 2940 3234 3602 4620 5390 5403 6468 7204 8085 9005 10780 10806 12607 16170 18010 19811 21612 25214 27015 32340 36020 37821 39622 50428 54030 59433 63035 75642 79244 88249 99055 108060 118866 126070 138677 151284 176498 189105 198110 237732 252140 264747 277354 297165 352996 378210 396220 416031 441245 529494 554708 594330 693385 756420 832062 882490 970739 1058988 1188660 1323735 1386770 1664124 1764980 1941478 2080155 2647470 2773540 2912217 3882956 4160310 4853695 5294940 5824434 8320620 9707390 11648868 14561085 19414780 29122170 58244340