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30004410420 = 2235539715551
BaseRepresentation
bin11011111100011001…
…101111100000110100
32212110001120222100000
4123330121233200310
5442422112113140
621441150351300
72111352165135
oct337431574064
985401528300
1030004410420
11117a7786706
1259944bb530
132aa227a70a
141648c75c8c
15ba91eaa30
hex6fc66f834

30004410420 has 144 divisors (see below), whose sum is σ = 94628072448. Its totient is φ = 7980508800.

The previous prime is 30004410419. The next prime is 30004410427. The reversal of 30004410420 is 2401440003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30004410393 and 30004410402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30004410427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921645 + ... + 1937195.

It is an arithmetic number, because the mean of its divisors is an integer number (657139392).

Almost surely, 230004410420 is an apocalyptic number.

30004410420 is a gapful number since it is divisible by the number (30) 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 30004410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47314036224).

30004410420 is an abundant number, since it is smaller than the sum of its proper divisors (64623662028).

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

30004410420 is a wasteful number, since it uses less digits than its factorization.

30004410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15972 (or 15958 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30004410420 its reverse (2401440003), we get a palindrome (32405850423).

The spelling of 30004410420 in words is "thirty billion, four million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 397 405 486 540 794 810 972 1191 1215 1588 1620 1985 2382 2430 3573 3970 4764 4860 5955 7146 7940 10719 11910 14292 15551 17865 21438 23820 31102 32157 35730 42876 46653 53595 62204 64314 71460 77755 93306 96471 107190 128628 139959 155510 160785 186612 192942 214380 233265 279918 311020 321570 385884 419877 466530 482355 559836 643140 699795 839754 933060 964710 1259631 1399590 1679508 1929420 2099385 2519262 2799180 3778893 4198770 5038524 6173747 6298155 7557786 8397540 12347494 12596310 15115572 18521241 18894465 24694988 25192620 30868735 37042482 37788930 55563723 61737470 74084964 75577860 92606205 111127446 123474940 166691169 185212410 222254892 277818615 333382338 370424820 500073507 555637230 666764676 833455845 1000147014 1111274460 1500220521 1666911690 2000294028 2500367535 3000441042 3333823380 5000735070 6000882084 7501102605 10001470140 15002205210 30004410420