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58344060 = 22351961839
BaseRepresentation
bin1101111010010…
…0001001111100
311001210012000010
43132210021330
5104414002220
65442303220
71305626205
oct336441174
9131705003
1058344060
112aa2a835
1217657b10
13c11a318
147a6a5ac
1551c71e0
hex37a427c

58344060 has 96 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 14480640.

The previous prime is 58344059. The next prime is 58344067. The reversal of 58344060 is 6044385.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58344067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69121 + ... + 69959.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 258344060 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 58344060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

58344060 is an abundant number, since it is smaller than the sum of its proper divisors (116644740).

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

58344060 is a wasteful number, since it uses less digits than its factorization.

58344060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 58344060 is about 7638.3283511512. The cubic root of 58344060 is about 387.8515657818.

The spelling of 58344060 in words is "fifty-eight million, three hundred forty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 839 915 1140 1159 1220 1678 1830 2318 2517 3356 3477 3660 4195 4636 5034 5795 6954 8390 10068 11590 12585 13908 15941 16780 17385 23180 25170 31882 34770 47823 50340 51179 63764 69540 79705 95646 102358 153537 159410 191292 204716 239115 255895 307074 318820 478230 511790 614148 767685 956460 972401 1023580 1535370 1944802 2917203 3070740 3889604 4862005 5834406 9724010 11668812 14586015 19448020 29172030 58344060