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1130842384 = 247212012
BaseRepresentation
bin100001101100111…
…0100100100010000
32220210212202010021
41003121310210100
54303443424014
6304113513224
740011000400
oct10331644420
92823782107
101130842384
11530370691
12276872814
1315038c209
14aa28a800
1569429624
hex43674910

1130842384 has 45 divisors (see below), whose sum is σ = 2550846501. Its totient is φ = 484243200.

The previous prime is 1130842379. The next prime is 1130842411. The reversal of 1130842384 is 4832480311.

The square root of 1130842384 is 33628.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1882384 + 1128960000 = 1372^2 + 33600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 940984 + ... + 942184.

Almost surely, 21130842384 is an apocalyptic number.

1130842384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1130842384 is the 33628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130842384

1130842384 is an abundant number, since it is smaller than the sum of its proper divisors (1420004117).

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

1130842384 is an frugal number, since it uses more digits than its factorization.

1130842384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The cubic root of 1130842384 is about 1041.8391962319.

The spelling of 1130842384 in words is "one billion, one hundred thirty million, eight hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1201 2402 4804 8407 9608 16814 19216 33628 58849 67256 117698 134512 235396 470792 941584 1442401 2884802 5769604 10096807 11539208 20193614 23078416 40387228 70677649 80774456 141355298 161548912 282710596 565421192 1130842384