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1034211320 = 235178531783
BaseRepresentation
bin111101101001001…
…100111111111000
32200002001101012222
4331221030333320
54104224230240
6250342423212
734425436232
oct7551147770
92602041188
101034211320
114908702aa
1224a431b08
13136357c7c
149b4d5252
1560bdceb5
hex3da4cff8

1034211320 has 64 divisors (see below), whose sum is σ = 2468128320. Its totient is φ = 388675584.

The previous prime is 1034211301. The next prime is 1034211323. The reversal of 1034211320 is 231124301.

It is a super-2 number, since 2×10342113202 = 2139186108832284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034211323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579149 + ... + 580931.

It is an arithmetic number, because the mean of its divisors is an integer number (38564505).

Almost surely, 21034211320 is an apocalyptic number.

1034211320 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 1034211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234064160).

1034211320 is an abundant number, since it is smaller than the sum of its proper divisors (1433917000).

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

1034211320 is a wasteful number, since it uses less digits than its factorization.

1034211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1034211320 is about 32159.1560834547. The cubic root of 1034211320 is about 1011.2761439843.

Adding to 1034211320 its reverse (231124301), we get a palindrome (1265335621).

The spelling of 1034211320 in words is "one billion, thirty-four million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 853 1706 1783 3412 3566 4265 6824 7132 8530 8915 14264 14501 17060 17830 29002 30311 34120 35660 58004 60622 71320 72505 116008 121244 145010 151555 242488 290020 303110 580040 606220 1212440 1520899 3041798 6083596 7604495 12167192 15208990 25855283 30417980 51710566 60835960 103421132 129276415 206842264 258552830 517105660 1034211320