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30040320 = 28357823
BaseRepresentation
bin111001010011…
…0000100000000
32002112012120110
41302212010000
530142242240
62551511320
7513224052
oct162460400
962465513
1030040320
1115a58812
12a088540
1362ba44b
143dbd8d2
152985c80
hex1ca6100

30040320 has 72 divisors (see below), whose sum is σ = 95953536. Its totient is φ = 8009728.

The previous prime is 30040267. The next prime is 30040363. The reversal of 30040320 is 2304003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30040296 and 30040305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 7751.

It is an arithmetic number, because the mean of its divisors is an integer number (1332688).

Almost surely, 230040320 is an apocalyptic number.

30040320 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 30040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47976768).

30040320 is an abundant number, since it is smaller than the sum of its proper divisors (65913216).

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

30040320 is an equidigital number, since it uses as much as digits as its factorization.

30040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7847 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 30040320 is about 5480.9050347548. The cubic root of 30040320 is about 310.8623922948.

Adding to 30040320 its reverse (2304003), we get a palindrome (32344323).

The spelling of 30040320 in words is "thirty million, forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 7823 15646 23469 31292 39115 46938 62584 78230 93876 117345 125168 156460 187752 234690 250336 312920 375504 469380 500672 625840 751008 938760 1001344 1251680 1502016 1877520 2002688 2503360 3004032 3755040 5006720 6008064 7510080 10013440 15020160 30040320