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30316248 = 2333198389
BaseRepresentation
bin111001110100…
…1011011011000
32010001020002000
41303221123120
530230104443
63001441000
7515453364
oct163513330
963036060
1030316248
1116127056
12a1a0160
136385c11
1440522a4
1529dc8d3
hex1ce96d8

30316248 has 128 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 9351936.

The previous prime is 30316217. The next prime is 30316249. The reversal of 30316248 is 84261303.

It is a happy number.

30316248 is a `hidden beast` number, since 3 + 0 + 31 + 624 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30316249) 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, 340588 + ... + 340676.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 230316248 is an apocalyptic number.

30316248 is a gapful number since it is divisible by the number (38) 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 30316248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

30316248 is an abundant number, since it is smaller than the sum of its proper divisors (60403752).

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

30316248 is a wasteful number, since it uses less digits than its factorization.

30316248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30316248 is about 5506.0192516917. The cubic root of 30316248 is about 311.8112763998.

The spelling of 30316248 in words is "thirty million, three hundred sixteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 83 89 108 114 152 166 171 178 216 228 249 267 332 342 356 456 498 513 534 664 684 712 747 801 996 1026 1068 1368 1494 1577 1602 1691 1992 2052 2136 2241 2403 2988 3154 3204 3382 4104 4482 4731 4806 5073 5976 6308 6408 6764 7387 8964 9462 9612 10146 12616 13528 14193 14774 15219 17928 18924 19224 20292 22161 28386 29548 30438 37848 40584 42579 44322 45657 56772 59096 60876 66483 85158 88644 91314 113544 121752 132966 140353 170316 177288 182628 199449 265932 280706 340632 365256 398898 421059 531864 561412 797796 842118 1122824 1263177 1595592 1684236 2526354 3368472 3789531 5052708 7579062 10105416 15158124 30316248