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1201434320 = 24515017929
BaseRepresentation
bin100011110011100…
…0110111011010000
310002201201012001102
41013213012323100
54430031344240
6315114523532
741526010652
oct10747067320
93081635042
101201434320
115671a6429
122964365a8
13161ba72a8
14b57c46d2
1570720815
hex479c6ed0

1201434320 has 20 divisors (see below), whose sum is σ = 2793334980. Its totient is φ = 480573696.

The previous prime is 1201434317. The next prime is 1201434349. The reversal of 1201434320 is 234341021.

It can be written as a sum of positive squares in 2 ways, for example, as 949132864 + 252301456 = 30808^2 + 15884^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1201434292 and 1201434301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7508885 + ... + 7509044.

It is an arithmetic number, because the mean of its divisors is an integer number (139666749).

Almost surely, 21201434320 is an apocalyptic number.

1201434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201434320 is an abundant number, since it is smaller than the sum of its proper divisors (1591900660).

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

1201434320 is a wasteful number, since it uses less digits than its factorization.

1201434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15017942 (or 15017936 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1201434320 is about 34661.7125947348. The cubic root of 1201434320 is about 1063.0817873964.

Adding to 1201434320 its reverse (234341021), we get a palindrome (1435775341).

The spelling of 1201434320 in words is "one billion, two hundred one million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 15017929 30035858 60071716 75089645 120143432 150179290 240286864 300358580 600717160 1201434320