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30364416 = 283323191
BaseRepresentation
bin111001111010…
…1001100000000
32010010200011000
41303311030000
530233130131
63002452000
7516043665
oct163651400
963120130
1030364416
111615a265
12a204000
1363a1b14
144065a6c
1529ebce6
hex1cf5300

30364416 has 144 divisors (see below), whose sum is σ = 94187520. Its totient is φ = 9630720.

The previous prime is 30364403. The next prime is 30364417. The reversal of 30364416 is 61446303.

30364416 is a `hidden beast` number, since 3 + 0 + 3 + 644 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30364416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30364417) 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 15 ways as a sum of consecutive naturals, for example, 158881 + ... + 159071.

It is an arithmetic number, because the mean of its divisors is an integer number (654080).

Almost surely, 230364416 is an apocalyptic number.

30364416 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 30364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47093760).

30364416 is an abundant number, since it is smaller than the sum of its proper divisors (63823104).

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

30364416 is a wasteful number, since it uses less digits than its factorization.

30364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30364416 is about 5510.3916376243. The cubic root of 30364416 is about 311.9763295652.

The spelling of 30364416 in words is "thirty million, three hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 191 192 207 216 256 276 288 368 382 384 414 432 552 573 576 621 736 764 768 828 864 1104 1146 1152 1242 1472 1528 1656 1719 1728 2208 2292 2304 2484 2944 3056 3312 3438 3456 4393 4416 4584 4968 5157 5888 6112 6624 6876 6912 8786 8832 9168 9936 10314 12224 13179 13248 13752 17572 17664 18336 19872 20628 24448 26358 26496 27504 35144 36672 39537 39744 41256 48896 52716 52992 55008 70288 73344 79074 79488 82512 105432 110016 118611 140576 146688 158148 158976 165024 210864 220032 237222 281152 316296 330048 421728 440064 474444 562304 632592 660096 843456 948888 1124608 1265184 1320192 1686912 1897776 2530368 3373824 3795552 5060736 7591104 10121472 15182208 30364416