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1204307104 = 2572111341131
BaseRepresentation
bin100011111001000…
…0100010010100000
310002221010010202211
41013302010102200
54431300311404
6315300251504
741562304300
oct10762042240
93087103684
101204307104
11568888830
122973a0b94
13162671a70
14b5d31600
1570adbb04
hex47c844a0

1204307104 has 288 divisors, whose sum is σ = 3344628672. Its totient is φ = 419328000.

The previous prime is 1204307057. The next prime is 1204307113. The reversal of 1204307104 is 4017034021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9193119 + ... + 9193249.

It is an arithmetic number, because the mean of its divisors is an integer number (11613294).

Almost surely, 21204307104 is an apocalyptic number.

1204307104 is a gapful number since it is divisible by the number (14) 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 1204307104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672314336).

1204307104 is an abundant number, since it is smaller than the sum of its proper divisors (2140321568).

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

1204307104 is a wasteful number, since it uses less digits than its factorization.

1204307104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1204307104 is about 34703.1281587121. The cubic root of 1204307104 is about 1063.9284347064.

The spelling of 1204307104 in words is "one billion, two hundred four million, three hundred seven thousand, one hundred four".