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34331130 = 23253491093
BaseRepresentation
bin1000001011110…
…1100111111010
32101121012110100
42002331213322
532242044010
63223500230
7564544521
oct202754772
971535410
1034331130
1118419539
12b5b7676
1371604a2
1447b94b8
1530322c0
hex20bd9fa

34331130 has 48 divisors (see below), whose sum is σ = 89598600. Its totient is φ = 9120384.

The previous prime is 34331123. The next prime is 34331137. The reversal of 34331130 is 3113343.

It is an interprime number because it is at equal distance from previous prime (34331123) and next prime (34331137).

It can be written as a sum of positive squares in 4 ways, for example, as 34327881 + 3249 = 5859^2 + 57^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34331137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30864 + ... + 31956.

Almost surely, 234331130 is an apocalyptic number.

34331130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34331130 is an abundant number, since it is smaller than the sum of its proper divisors (55267470).

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

34331130 is a wasteful number, since it uses less digits than its factorization.

34331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 34331130 is about 5859.2772591848. The cubic root of 34331130 is about 325.0094829580.

Adding to 34331130 its reverse (3113343), we get a palindrome (37444473).

The spelling of 34331130 in words is "thirty-four million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 349 698 1047 1093 1745 2094 2186 3141 3279 3490 5235 5465 6282 6558 9837 10470 10930 15705 16395 19674 31410 32790 49185 98370 381457 762914 1144371 1907285 2288742 3433113 3814570 5721855 6866226 11443710 17165565 34331130