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1033534242 = 234134491093
BaseRepresentation
bin111101100110100…
…111101100100010
32200000202222110000
4331212213230202
54104041043432
6250320120430
734416616236
oct7546475442
92600688400
101033534242
11490448634
1224a166116
1313617ba30
149b39a5c6
1560b0757c
hex3d9a7b22

1033534242 has 80 divisors (see below), whose sum is σ = 2501868600. Its totient is φ = 317011968.

The previous prime is 1033534231. The next prime is 1033534303. The reversal of 1033534242 is 2424353301.

1033534242 is a `hidden beast` number, since 103 + 3 + 534 + 24 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 992817081 + 40717161 = 31509^2 + 6381^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 945048 + ... + 946140.

Almost surely, 21033534242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033534242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250934300).

1033534242 is an abundant number, since it is smaller than the sum of its proper divisors (1468334358).

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

1033534242 is a wasteful number, since it uses less digits than its factorization.

1033534242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 1033534242 is about 32148.6273734976. The cubic root of 1033534242 is about 1011.0554082111.

Adding to 1033534242 its reverse (2424353301), we get a palindrome (3457887543).

The spelling of 1033534242 in words is "one billion, thirty-three million, five hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 449 702 898 1053 1093 1347 2106 2186 2694 3279 4041 5837 6558 8082 9837 11674 12123 14209 17511 19674 24246 28418 29511 35022 36369 42627 52533 59022 72738 85254 88533 105066 127881 157599 177066 255762 315198 383643 472797 490757 767286 945594 981514 1150929 1472271 2301858 2944542 4416813 6379841 8833626 12759682 13250439 19139523 26500878 38279046 39751317 57418569 79502634 114837138 172255707 344511414 516767121 1033534242