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30393024 = 263592683
BaseRepresentation
bin111001111110…
…0001011000000
32010012010101120
41303330023000
530240034044
63003232240
7516223254
oct163741300
963163346
1030393024
1116179802
12a218680
1363b1b4c
144072264
152a05519
hex1cfc2c0

30393024 has 56 divisors (see below), whose sum is σ = 81808320. Its totient is φ = 9955584.

The previous prime is 30393017. The next prime is 30393031. The reversal of 30393024 is 42039303.

It is an interprime number because it is at equal distance from previous prime (30393017) and next prime (30393031).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30392985 and 30393003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9987 + ... + 12669.

Almost surely, 230393024 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 30393024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40904160).

30393024 is an abundant number, since it is smaller than the sum of its proper divisors (51415296).

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

30393024 is a wasteful number, since it uses less digits than its factorization.

30393024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 30393024 is about 5512.9868492497. The cubic root of 30393024 is about 312.0742755445.

The spelling of 30393024 in words is "thirty million, three hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2683 2832 3776 5366 5664 8049 10732 11328 16098 21464 32196 42928 64392 85856 128784 158297 171712 257568 316594 474891 515136 633188 949782 1266376 1899564 2532752 3799128 5065504 7598256 10131008 15196512 30393024