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1020323034 = 233175367313
BaseRepresentation
bin111100110100001…
…110010011011010
32122002220210002000
4330310032103122
54042200314114
6245125021430
734166413503
oct7464162332
92562823060
101020323034
11483a44885
12245854876
13133504653
149971bbaa
155e897e09
hex3cd0e4da

1020323034 has 128 divisors (see below), whose sum is σ = 2490497280. Its totient is φ = 308385792.

The previous prime is 1020322997. The next prime is 1020323039. The reversal of 1020323034 is 4303230201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020322998 and 1020323016.

It is not an unprimeable number, because it can be changed into a prime (1020323039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259662 + ... + 3259974.

It is an arithmetic number, because the mean of its divisors is an integer number (19457010).

Almost surely, 21020323034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020323034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245248640).

1020323034 is an abundant number, since it is smaller than the sum of its proper divisors (1470174246).

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

1020323034 is a wasteful number, since it uses less digits than its factorization.

1020323034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1020323034 is about 31942.4957384360. The cubic root of 1020323034 is about 1006.7289641480.

Adding to 1020323034 its reverse (4303230201), we get a palindrome (5323553235).

The spelling of 1020323034 in words is "one billion, twenty million, three hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 67 102 106 134 153 159 201 306 313 318 402 459 477 603 626 901 918 939 954 1139 1206 1431 1802 1809 1878 2278 2703 2817 2862 3417 3551 3618 5321 5406 5634 6834 7102 8109 8451 10251 10642 10653 15963 16218 16589 16902 20502 20971 21306 24327 30753 31926 31959 33178 41942 47889 48654 49767 60367 61506 62913 63918 95778 95877 99534 120734 125826 143667 149301 181101 188739 191754 282013 287334 298602 356507 362202 377478 447903 543303 564026 566217 713014 846039 895806 1069521 1086606 1111463 1132434 1629909 1692078 2139042 2222926 2538117 3208563 3259818 3334389 5076234 6417126 6668778 7614351 9625689 10003167 15228702 18894871 19251378 20006334 30009501 37789742 56684613 60019002 113369226 170053839 340107678 510161517 1020323034