Search a number
-
+
30258368 = 2671729137
BaseRepresentation
bin111001101101…
…1010011000000
32002221021200022
41303123103000
530221231433
63000313012
7515122550
oct163332300
962837608
1030258368
1116097618
12a172768
13636577a
144039160
1529ca698
hex1cdb4c0

30258368 has 112 divisors (see below), whose sum is σ = 75712320. Its totient is φ = 11698176.

The previous prime is 30258367. The next prime is 30258373. The reversal of 30258368 is 86385203.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (30258367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220796 + ... + 220932.

Almost surely, 230258368 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 30258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37856160).

30258368 is an abundant number, since it is smaller than the sum of its proper divisors (45453952).

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

30258368 is a wasteful number, since it uses less digits than its factorization.

30258368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 30258368 is about 5500.7606746704. The cubic root of 30258368 is about 311.6127125314.

The spelling of 30258368 in words is "thirty million, two hundred fifty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 64 68 112 116 119 136 137 203 224 232 238 272 274 406 448 464 476 493 544 548 812 928 952 959 986 1088 1096 1624 1856 1904 1918 1972 2192 2329 3248 3451 3808 3836 3944 3973 4384 4658 6496 6902 7616 7672 7888 7946 8768 9316 12992 13804 15344 15776 15892 16303 18632 27608 27811 30688 31552 31784 32606 37264 55216 55622 61376 63568 65212 67541 74528 110432 111244 127136 130424 135082 149056 220864 222488 254272 260848 270164 444976 472787 521696 540328 889952 945574 1043392 1080656 1779904 1891148 2161312 3782296 4322624 7564592 15129184 30258368