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310142052 = 2232111814327
BaseRepresentation
bin10010011111000…
…110010001100100
3210121120211220200
4102133012101210
51113344021202
650435230500
710454110143
oct2237062144
9717524820
10310142052
1114a081350
1287a48430
134c33c20c
142d29375a
151c363e1c
hex127c6464

310142052 has 72 divisors (see below), whose sum is σ = 860164032. Its totient is φ = 93441600.

The previous prime is 310142047. The next prime is 310142057. The reversal of 310142052 is 250241013.

It is an interprime number because it is at equal distance from previous prime (310142047) and next prime (310142057).

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 (310142057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69513 + ... + 73839.

Almost surely, 2310142052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310142052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430082016).

310142052 is an abundant number, since it is smaller than the sum of its proper divisors (550021980).

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

310142052 is a wasteful number, since it uses less digits than its factorization.

310142052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 310142052 is about 17610.8504053609. The cubic root of 310142052 is about 676.8933050863.

Adding to 310142052 its reverse (250241013), we get a palindrome (560383065).

The spelling of 310142052 in words is "three hundred ten million, one hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 181 198 362 396 543 724 1086 1629 1991 2172 3258 3982 4327 5973 6516 7964 8654 11946 12981 17308 17919 23892 25962 35838 38943 47597 51924 71676 77886 95194 142791 155772 190388 285582 428373 571164 783187 856746 1566374 1713492 2349561 3132748 4699122 7048683 8615057 9398244 14097366 17230114 25845171 28194732 34460228 51690342 77535513 103380684 155071026 310142052