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1890380304 = 2432231314357
BaseRepresentation
bin111000010101100…
…1110101000010000
311212202002021021100
41300223032220100
512332414132204
6511325224400
764562652561
oct16053165020
94782067240
101890380304
1189008577a
12449102100
13241846137
1413d0c2168
15b0e5ca39
hex70acea10

1890380304 has 120 divisors (see below), whose sum is σ = 5563876032. Its totient is φ = 597991680.

The previous prime is 1890380293. The next prime is 1890380339. The reversal of 1890380304 is 4030830981.

It is a super-2 number, since 2×18903803042 = 7147075387502264832, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431694 + ... + 436050.

Almost surely, 21890380304 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 1890380304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781938016).

1890380304 is an abundant number, since it is smaller than the sum of its proper divisors (3673495728).

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

1890380304 is a wasteful number, since it uses less digits than its factorization.

1890380304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1890380304 is about 43478.5039301032. The cubic root of 1890380304 is about 1236.4685124912.

The spelling of 1890380304 in words is "one billion, eight hundred ninety million, three hundred eighty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 131 138 144 184 207 262 276 368 393 414 524 552 786 828 1048 1104 1179 1572 1656 2096 2358 3013 3144 3312 4357 4716 6026 6288 8714 9039 9432 12052 13071 17428 18078 18864 24104 26142 27117 34856 36156 39213 48208 52284 54234 69712 72312 78426 100211 104568 108468 144624 156852 200422 209136 216936 300633 313704 400844 433872 570767 601266 627408 801688 901899 1141534 1202532 1603376 1712301 1803798 2283068 2405064 3424602 3607596 4566136 4810128 5136903 6849204 7215192 9132272 10273806 13127641 13698408 14430384 20547612 26255282 27396816 39382923 41095224 52510564 78765846 82190448 105021128 118148769 157531692 210042256 236297538 315063384 472595076 630126768 945190152 1890380304