Search a number
-
+
1046344020 = 2235532931123
BaseRepresentation
bin111110010111011…
…111000101010100
32200220212210011020
4332113133011110
54120331002040
6251454441140
734633530441
oct7627370524
92626783136
101046344020
114976a7827
122525031b0
13138a15497
149cd729c8
1561cd7cd0
hex3e5df154

1046344020 has 96 divisors (see below), whose sum is σ = 2997896832. Its totient is φ = 272583168.

The previous prime is 1046343989. The next prime is 1046344043. The reversal of 1046344020 is 204436401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 931179 + ... + 932301.

It is an arithmetic number, because the mean of its divisors is an integer number (31228092).

Almost surely, 21046344020 is an apocalyptic number.

1046344020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498948416).

1046344020 is an abundant number, since it is smaller than the sum of its proper divisors (1951552812).

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

1046344020 is a wasteful number, since it uses less digits than its factorization.

1046344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1046344020 is about 32347.2413043215. The cubic root of 1046344020 is about 1015.2153263631.

The spelling of 1046344020 in words is "one billion, forty-six million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 293 318 530 586 636 795 879 1060 1123 1172 1465 1590 1758 2246 2930 3180 3369 3516 4395 4492 5615 5860 6738 8790 11230 13476 15529 16845 17580 22460 31058 33690 46587 59519 62116 67380 77645 93174 119038 155290 178557 186348 232935 238076 297595 310580 329039 357114 465870 595190 658078 714228 892785 931740 987117 1190380 1316156 1645195 1785570 1974234 3290390 3571140 3948468 4935585 6580780 9871170 17439067 19742340 34878134 52317201 69756268 87195335 104634402 174390670 209268804 261586005 348781340 523172010 1046344020