Search a number
-
+
1046144268 = 223313745117
BaseRepresentation
bin111110010110101…
…110010100001100
32200220111122011000
4332112232110030
54120303104033
6251450300300
734632036201
oct7626562414
92626448130
101046144268
11497580744
12252427690
131389755a0
149cd1dca8
1561c98a13
hex3e5ae50c

1046144268 has 48 divisors (see below), whose sum is σ = 2920862560. Its totient is φ = 321890112.

The previous prime is 1046144257. The next prime is 1046144273. The reversal of 1046144268 is 8624416401.

It is a happy number.

1046144268 is a `hidden beast` number, since 10 + 4 + 614 + 4 + 26 + 8 = 666.

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

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, 371155 + ... + 373962.

Almost surely, 21046144268 is an apocalyptic number.

1046144268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1046144268 is an abundant number, since it is smaller than the sum of its proper divisors (1874718292).

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

1046144268 is a wasteful number, since it uses less digits than its factorization.

1046144268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745143 (or 745135 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1046144268 is about 32344.1535366131. The cubic root of 1046144268 is about 1015.1507191230.

The spelling of 1046144268 in words is "one billion, forty-six million, one hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 745117 1490234 2235351 2980468 4470702 6706053 8941404 9686521 13412106 19373042 20118159 26824212 29059563 38746084 40236318 58119126 80472636 87178689 116238252 174357378 261536067 348714756 523072134 1046144268