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30520368 = 2433314353
BaseRepresentation
bin111010001101…
…1010000110000
32010102121002000
41310123100300
530303122433
63010054000
7520263444
oct164332060
963377060
1030520368
111625644a
12a27a300
136427ab8
1440a6824
152a2d113
hex1d1b430

30520368 has 160 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 9434880.

The previous prime is 30520367. The next prime is 30520381. The reversal of 30520368 is 86302503.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30520367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575830 + ... + 575882.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 230520368 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 30520368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

30520368 is an abundant number, since it is smaller than the sum of its proper divisors (63759312).

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

30520368 is a wasteful number, since it uses less digits than its factorization.

30520368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30520368 is about 5524.5242329091. The cubic root of 30520368 is about 312.5095224832.

The spelling of 30520368 in words is "thirty million, five hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 43 48 53 54 62 72 86 93 106 108 124 129 144 159 172 186 212 216 248 258 279 318 344 372 387 424 432 477 496 516 558 636 688 744 774 837 848 954 1032 1116 1161 1272 1333 1431 1488 1548 1643 1674 1908 2064 2232 2279 2322 2544 2666 2862 3096 3286 3348 3816 3999 4464 4558 4644 4929 5332 5724 6192 6572 6696 6837 7632 7998 9116 9288 9858 10664 11448 11997 13144 13392 13674 14787 15996 18232 18576 19716 20511 21328 22896 23994 26288 27348 29574 31992 35991 36464 39432 41022 44361 47988 54696 59148 61533 63984 70649 71982 78864 82044 88722 95976 109392 118296 123066 141298 143964 164088 177444 191952 211947 236592 246132 282596 287928 328176 354888 423894 492264 565192 575856 635841 709776 847788 984528 1130384 1271682 1695576 1907523 2543364 3391152 3815046 5086728 7630092 10173456 15260184 30520368