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58340100 = 223527132137
BaseRepresentation
bin1101111010001…
…1001100000100
311001202222120110
43132203030010
5104413340400
65442233020
71305611520
oct336431404
9131688513
1058340100
112aa27865
1217655770
13c118590
147a68d80
1551c5e50
hex37a3304

58340100 has 144 divisors (see below), whose sum is σ = 207847808. Its totient is φ = 12303360.

The previous prime is 58340099. The next prime is 58340111. The reversal of 58340100 is 104385.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 26232 + ... + 28368.

Almost surely, 258340100 is an apocalyptic number.

58340100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103923904).

58340100 is an abundant number, since it is smaller than the sum of its proper divisors (149507708).

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

58340100 is a wasteful number, since it uses less digits than its factorization.

58340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 58340100 is about 7638.0691277312. The cubic root of 58340100 is about 387.8427906700.

Adding to 58340100 its reverse (104385), we get a palindrome (58444485).

The spelling of 58340100 in words is "fifty-eight million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2137 2275 2730 3900 4274 4550 5460 6411 6825 8548 9100 10685 12822 13650 14959 21370 25644 27300 27781 29918 32055 42740 44877 53425 55562 59836 64110 74795 83343 89754 106850 111124 128220 138905 149590 160275 166686 179508 194467 213700 224385 277810 299180 320550 333372 373975 388934 416715 448770 555620 583401 641100 694525 747950 777868 833430 897540 972335 1121925 1166802 1389050 1495900 1666860 1944670 2083575 2243850 2333604 2778100 2917005 3889340 4167150 4487700 4861675 5834010 8334300 9723350 11668020 14585025 19446700 29170050 58340100