Search a number
-
+
1630442196 = 223411344533
BaseRepresentation
bin110000100101110…
…1001001011010100
311012121222001020000
41201023221023110
511314343122241
6425442011300
755255346535
oct14113511324
94177861200
101630442196
11767384399
12396046b30
131cca340c6
1411677a68c
1598213eb6
hex612e92d4

1630442196 has 60 divisors (see below), whose sum is σ = 4300113972. Its totient is φ = 538659072.

The previous prime is 1630442189. The next prime is 1630442201. The reversal of 1630442196 is 6912440361.

1630442196 is a `hidden beast` number, since 1 + 630 + 4 + 4 + 2 + 19 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 373030596 + 1257411600 = 19314^2 + 35460^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1630442196.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14346 + ... + 58878.

Almost surely, 21630442196 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 1630442196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150056986).

1630442196 is an abundant number, since it is smaller than the sum of its proper divisors (2669671776).

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

1630442196 is a wasteful number, since it uses less digits than its factorization.

1630442196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44662 (or 44651 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1630442196 is about 40378.7344526794. The cubic root of 1630442196 is about 1176.9783351927.

The spelling of 1630442196 in words is "one billion, six hundred thirty million, four hundred forty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 324 339 452 678 1017 1356 2034 3051 4068 6102 9153 12204 18306 36612 44533 89066 133599 178132 267198 400797 534396 801594 1202391 1603188 2404782 3607173 4809564 5032229 7214346 10064458 14428692 15096687 20128916 30193374 45290061 60386748 90580122 135870183 181160244 271740366 407610549 543480732 815221098 1630442196