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30294936 = 23327231277
BaseRepresentation
bin111001110010…
…0001110011000
32010000010211200
41303210032120
530223414221
63001154200
7515334300
oct163441630
963003750
1030294936
1116112041
12a18b960
1363792c9
144048600
1529d6426
hex1ce4398

30294936 has 144 divisors (see below), whose sum is σ = 98879040. Its totient is φ = 8346240.

The previous prime is 30294883. The next prime is 30294973. The reversal of 30294936 is 63949203.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 30294936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109230 + ... + 109506.

It is an arithmetic number, because the mean of its divisors is an integer number (686660).

Almost surely, 230294936 is an apocalyptic number.

30294936 is a gapful number since it is divisible by the number (36) 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 30294936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49439520).

30294936 is an abundant number, since it is smaller than the sum of its proper divisors (68584104).

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

30294936 is a wasteful number, since it uses less digits than its factorization.

30294936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 30294936 is about 5504.0835749469. The cubic root of 30294936 is about 311.7381926008.

The spelling of 30294936 in words is "thirty million, two hundred ninety-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 277 279 294 372 392 434 441 504 554 558 588 651 744 831 868 882 1108 1116 1176 1302 1519 1662 1736 1764 1939 1953 2216 2232 2493 2604 3038 3324 3528 3878 3906 4557 4986 5208 5817 6076 6648 7756 7812 8587 9114 9972 11634 12152 13573 13671 15512 15624 17174 17451 18228 19944 23268 25761 27146 27342 34348 34902 36456 40719 46536 51522 54292 54684 60109 68696 69804 77283 81438 103044 108584 109368 120218 122157 139608 154566 162876 180327 206088 240436 244314 309132 325752 360654 420763 480872 488628 540981 618264 721308 841526 977256 1081962 1262289 1442616 1683052 2163924 2524578 3366104 3786867 4327848 5049156 7573734 10098312 15147468 30294936