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30070400 = 27529397
BaseRepresentation
bin111001010110…
…1011010000000
32002120201211112
41302231122000
530144223100
62552302452
7513410543
oct162553200
962521745
1030070400
1115a79378
12a0a1a28
1362cb049
143dca85a
15298eb35
hex1cad680

30070400 has 48 divisors (see below), whose sum is σ = 74291190. Its totient is φ = 12026880.

The previous prime is 30070387. The next prime is 30070409. The reversal of 30070400 is 407003.

It can be written as a sum of positive squares in 3 ways, for example, as 11888704 + 18181696 = 3448^2 + 4264^2 .

It is not an unprimeable number, because it can be changed into a prime (30070409) 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 5 ways as a sum of consecutive naturals, for example, 1499 + ... + 7898.

Almost surely, 230070400 is an apocalyptic number.

It is an amenable number.

30070400 is an abundant number, since it is smaller than the sum of its proper divisors (44220790).

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

30070400 is an equidigital number, since it uses as much as digits as its factorization.

30070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9421 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 30070400 is about 5483.6484205317. The cubic root of 30070400 is about 310.9661153517.

Adding to 30070400 its reverse (407003), we get a palindrome (30477403).

The spelling of 30070400 in words is "thirty million, seventy thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 9397 18794 37588 46985 75176 93970 150352 187940 234925 300704 375880 469850 601408 751760 939700 1202816 1503520 1879400 3007040 3758800 6014080 7517600 15035200 30070400