Search a number
-
+
1034333020 = 225719601647
BaseRepresentation
bin111101101001101…
…010101101011100
32200002021120011101
4331221222231130
54104242124040
6250345202444
734426454110
oct7551525534
92602246141
101034333020
11490943786
1224a490424
1313639b496
149b527740
1560c1409a
hex3da6ab5c

1034333020 has 96 divisors (see below), whose sum is σ = 2621445120. Its totient is φ = 334886400.

The previous prime is 1034332997. The next prime is 1034333029. The reversal of 1034333020 is 203334301.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034333029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598337 + ... + 1598983.

It is an arithmetic number, because the mean of its divisors is an integer number (27306720).

Almost surely, 21034333020 is an apocalyptic number.

1034333020 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 1034333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310722560).

1034333020 is an abundant number, since it is smaller than the sum of its proper divisors (1587112100).

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

1034333020 is a wasteful number, since it uses less digits than its factorization.

1034333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 1034333020 is about 32161.0481794359. The cubic root of 1034333020 is about 1011.3158094689.

Adding to 1034333020 its reverse (203334301), we get a palindrome (1237667321).

The spelling of 1034333020 in words is "one billion, thirty-four million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 601 647 665 1202 1294 1330 2404 2588 2660 3005 3235 4207 4529 6010 6470 8414 9058 11419 12020 12293 12940 16828 18116 21035 22645 22838 24586 42070 45290 45676 49172 57095 61465 79933 84140 86051 90580 114190 122930 159866 172102 228380 245860 319732 344204 388847 399665 430255 777694 799330 860510 1555388 1598660 1721020 1944235 2721929 3888470 5443858 7388093 7776940 10887716 13609645 14776186 27219290 29552372 36940465 51716651 54438580 73880930 103433302 147761860 206866604 258583255 517166510 1034333020