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58344104 = 2372131072
BaseRepresentation
bin1101111010010…
…0001010101000
311001210012001202
43132210022220
5104414002404
65442303332
71305626300
oct336441250
9131705052
1058344104
112aa2a875
1217657b48
13c11a350
147a6a600
1551c721e
hex37a42a8

58344104 has 72 divisors (see below), whose sum is σ = 138337290. Its totient is φ = 22865472.

The previous prime is 58344089. The next prime is 58344109. The reversal of 58344104 is 40144385.

It can be written as a sum of positive squares in only one way, i.e., 56100100 + 2244004 = 7490^2 + 1498^2 .

It is not an unprimeable number, because it can be changed into a prime (58344109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 545219 + ... + 545325.

Almost surely, 258344104 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 58344104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69168645).

58344104 is an abundant number, since it is smaller than the sum of its proper divisors (79993186).

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

58344104 is a wasteful number, since it uses less digits than its factorization.

58344104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 58344104 is about 7638.3312313620. The cubic root of 58344104 is about 387.8516632809.

Adding to 58344104 its reverse (40144385), we get a palindrome (98488489).

The spelling of 58344104 in words is "fifty-eight million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 107 182 196 214 364 392 428 637 728 749 856 1274 1391 1498 2548 2782 2996 5096 5243 5564 5992 9737 10486 11128 11449 19474 20972 22898 38948 41944 45796 68159 77896 80143 91592 136318 148837 160286 272636 297674 320572 545272 561001 595348 641144 1041859 1122002 1190696 2083718 2244004 4167436 4488008 7293013 8334872 14586026 29172052 58344104