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135434310 = 23511974231
BaseRepresentation
bin10000001001010…
…01000001000110
3100102211202221120
420010221001012
5234132344220
621234454410
73233113134
oct1004510106
9312752846
10135434310
116a4a3890
1239434406
132209c15b
1413db6754
15bd53a40
hex8129046

135434310 has 64 divisors (see below), whose sum is σ = 358331904. Its totient is φ = 32486400.

The previous prime is 135434309. The next prime is 135434311. The reversal of 135434310 is 13434531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135434309) and next prime (135434311).

It is a super-2 number, since 2×1354343102 = 36684904650352200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135434311) 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, 29895 + ... + 34125.

It is an arithmetic number, because the mean of its divisors is an integer number (5598936).

Almost surely, 2135434310 is an apocalyptic number.

135434310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135434310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179165952).

135434310 is an abundant number, since it is smaller than the sum of its proper divisors (222897594).

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

135434310 is a wasteful number, since it uses less digits than its factorization.

135434310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135434310 is about 11637.6247576557. The cubic root of 135434310 is about 513.5423133864.

Adding to 135434310 its reverse (13434531), we get a palindrome (148868841).

The spelling of 135434310 in words is "one hundred thirty-five million, four hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 291 330 485 582 970 1067 1455 2134 2910 3201 4231 5335 6402 8462 10670 12693 16005 21155 25386 32010 42310 46541 63465 93082 126930 139623 232705 279246 410407 465410 698115 820814 1231221 1396230 2052035 2462442 4104070 4514477 6156105 9028954 12312210 13543431 22572385 27086862 45144770 67717155 135434310