Search a number
-
+
310142352 = 243133116033
BaseRepresentation
bin10010011111000…
…110010110010000
3210121120212022210
4102133012112100
51113344023402
650435232120
710454111052
oct2237062620
9717525283
10310142352
1114a0815a3
1287a48640
134c33c3b0
142d2938d2
151c36406c
hex127c6590

310142352 has 80 divisors (see below), whose sum is σ = 890720768. Its totient is φ = 92344320.

The previous prime is 310142333. The next prime is 310142429. The reversal of 310142352 is 253241013.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11328 + ... + 27360.

Almost surely, 2310142352 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 310142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445360384).

310142352 is an abundant number, since it is smaller than the sum of its proper divisors (580578416).

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

310142352 is a wasteful number, since it uses less digits than its factorization.

310142352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16088 (or 16082 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 310142352 is about 17610.8589228351. The cubic root of 310142352 is about 676.8935233389.

Adding to 310142352 its reverse (253241013), we get a palindrome (563383365).

The spelling of 310142352 in words is "three hundred ten million, one hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 16033 19344 32066 48099 64132 96198 128264 192396 208429 256528 384792 416858 497023 625287 769584 833716 994046 1250574 1491069 1667432 1988092 2501148 2982138 3334864 3976184 5002296 5964276 6461299 7952368 10004592 11928552 12922598 19383897 23857104 25845196 38767794 51690392 77535588 103380784 155071176 310142352