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1204118328 = 233723929989
BaseRepresentation
bin100011111000101…
…0110001100111000
310002220202112211010
41013301112030320
54431223241303
6315252233520
741560560030
oct10761261470
93086675733
101204118328
11568769a16
1229730b8a0
13162606b6a
14b5cc28c0
1570aa0c03
hex47c56338

1204118328 has 64 divisors (see below), whose sum is σ = 3454848000. Its totient is φ = 342582912.

The previous prime is 1204118281. The next prime is 1204118353. The reversal of 1204118328 is 8238114021.

It is a junction number, because it is equal to n+sod(n) for n = 1204118295 and 1204118304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25158 + ... + 55146.

It is an arithmetic number, because the mean of its divisors is an integer number (53982000).

Almost surely, 21204118328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1204118328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727424000).

1204118328 is an abundant number, since it is smaller than the sum of its proper divisors (2250729672).

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

1204118328 is a wasteful number, since it uses less digits than its factorization.

1204118328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30244 (or 30240 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1204118328 is about 34700.4081820373. The cubic root of 1204118328 is about 1063.8728412872.

The spelling of 1204118328 in words is "one billion, two hundred four million, one hundred eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 239 478 717 956 1434 1673 1912 2868 3346 5019 5736 6692 10038 13384 20076 29989 40152 59978 89967 119956 179934 209923 239912 359868 419846 629769 719736 839692 1259538 1679384 2519076 5038152 7167371 14334742 21502113 28669484 43004226 50171597 57338968 86008452 100343194 150514791 172016904 200686388 301029582 401372776 602059164 1204118328