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30097368 = 23327219449
BaseRepresentation
bin111001011001…
…1111111011000
32002122002211100
41302303333120
530201103433
62553031400
7513552300
oct162637730
962562740
1030097368
1115a97664
12a0b5560
13630a3c2
143dd6600
152997b13
hex1cb3fd8

30097368 has 144 divisors (see below), whose sum is σ = 100035000. Its totient is φ = 8128512.

The previous prime is 30097367. The next prime is 30097399. The reversal of 30097368 is 86379003.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30097367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66808 + ... + 67256.

Almost surely, 230097368 is an apocalyptic number.

30097368 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 30097368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50017500).

30097368 is an abundant number, since it is smaller than the sum of its proper divisors (69937632).

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

30097368 is a wasteful number, since it uses less digits than its factorization.

30097368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30097368 is about 5486.1068163134. The cubic root of 30097368 is about 311.0590486956.

The spelling of 30097368 in words is "thirty million, ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 449 456 504 532 588 684 798 882 898 931 1064 1176 1197 1347 1368 1596 1764 1796 1862 2394 2694 2793 3143 3192 3528 3592 3724 4041 4788 5388 5586 6286 7448 8082 8379 8531 9429 9576 10776 11172 12572 16164 16758 17062 18858 22001 22344 25144 25593 28287 32328 33516 34124 37716 44002 51186 56574 59717 66003 67032 68248 75432 76779 88004 102372 113148 119434 132006 153558 176008 179151 198009 204744 226296 238868 264012 307116 358302 396018 418019 477736 528024 537453 614232 716604 792036 836038 1074906 1254057 1433208 1584072 1672076 2149812 2508114 3344152 3762171 4299624 5016228 7524342 10032456 15048684 30097368