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30293904 = 2431959563
BaseRepresentation
bin111001110001…
…1111110010000
32010000002102110
41303203332100
530223401104
63001145320
7515331264
oct163437620
963002373
1030293904
1116111293
12a18b240
1363789b4
1440480a4
1529d5e89
hex1ce3f90

30293904 has 80 divisors (see below), whose sum is σ = 83923200. Its totient is φ = 9387648.

The previous prime is 30293891. The next prime is 30293911. The reversal of 30293904 is 40939203.

It is a super-2 number, since 2×302939042 = 1835441239122432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53527 + ... + 54089.

It is an arithmetic number, because the mean of its divisors is an integer number (1049040).

Almost surely, 230293904 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 30293904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41961600).

30293904 is an abundant number, since it is smaller than the sum of its proper divisors (53629296).

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

30293904 is a wasteful number, since it uses less digits than its factorization.

30293904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 30293904 is about 5503.9898255720. The cubic root of 30293904 is about 311.7346527631.

The spelling of 30293904 in words is "thirty million, two hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 76 114 118 152 177 228 236 304 354 456 472 563 708 912 944 1121 1126 1416 1689 2242 2252 2832 3363 3378 4484 4504 6726 6756 8968 9008 10697 13452 13512 17936 21394 26904 27024 32091 33217 42788 53808 64182 66434 85576 99651 128364 132868 171152 199302 256728 265736 398604 513456 531472 631123 797208 1262246 1594416 1893369 2524492 3786738 5048984 7573476 10097968 15146952 30293904