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30794688 = 263371251
BaseRepresentation
bin111010101111…
…0001111000000
32010221112101000
41311132033000
530340412223
63020012000
7522515301
oct165361700
963845330
1030794688
1116423561
12a391000
1364c2912
1441387a8
152a84543
hex1d5e3c0

30794688 has 112 divisors (see below), whose sum is σ = 92171520. Its totient is φ = 10080000.

The previous prime is 30794681. The next prime is 30794689. The reversal of 30794688 is 88649703.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30794681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122563 + ... + 122813.

It is an arithmetic number, because the mean of its divisors is an integer number (822960).

Almost surely, 230794688 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 30794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

30794688 is an abundant number, since it is smaller than the sum of its proper divisors (61376832).

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

30794688 is a wasteful number, since it uses less digits than its factorization.

30794688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 30794688 is about 5549.2961715879. The cubic root of 30794688 is about 313.4430197946.

The spelling of 30794688 in words is "thirty million, seven hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 142 144 192 213 216 251 284 288 426 432 502 568 576 639 753 852 864 1004 1136 1278 1506 1704 1728 1917 2008 2259 2272 2556 3012 3408 3834 4016 4518 4544 5112 6024 6777 6816 7668 8032 9036 10224 12048 13554 13632 15336 16064 17821 18072 20448 24096 27108 30672 35642 36144 40896 48192 53463 54216 61344 71284 72288 106926 108432 122688 142568 144576 160389 213852 216864 285136 320778 427704 433728 481167 570272 641556 855408 962334 1140544 1283112 1710816 1924668 2566224 3421632 3849336 5132448 7698672 10264896 15397344 30794688