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30346368 = 273136079
BaseRepresentation
bin111001111000…
…0110010000000
32010002202101120
41303300302000
530232040433
63002232240
7515640243
oct163606200
963082346
1030346368
1116147748
12a1b5680
136396840
14405d25a
1529e67b3
hex1cf0c80

30346368 has 64 divisors (see below), whose sum is σ = 86822400. Its totient is φ = 9335808.

The previous prime is 30346367. The next prime is 30346387. The reversal of 30346368 is 86364303.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (30346367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1953 + ... + 8031.

It is an arithmetic number, because the mean of its divisors is an integer number (1356600).

Almost surely, 230346368 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 30346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43411200).

30346368 is an abundant number, since it is smaller than the sum of its proper divisors (56476032).

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

30346368 is a wasteful number, since it uses less digits than its factorization.

30346368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6097 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 30346368 is about 5508.7537610607. The cubic root of 30346368 is about 311.9145064899.

The spelling of 30346368 in words is "thirty million, three hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 6079 12158 18237 24316 36474 48632 72948 79027 97264 145896 158054 194528 237081 291792 316108 389056 474162 583584 632216 778112 948324 1167168 1264432 1896648 2334336 2528864 3793296 5057728 7586592 10115456 15173184 30346368