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313325334 = 23471716253
BaseRepresentation
bin10010101011001…
…111011100010110
3210211120120120000
4102223033130112
51120202402314
651031352130
710523135640
oct2253173426
9724516500
10313325334
11150955a63
1288b22646
134cbb510a
142d881890
151c792209
hex12acf716

313325334 has 80 divisors (see below), whose sum is σ = 849629088. Its totient is φ = 84250368.

The previous prime is 313325303. The next prime is 313325387. The reversal of 313325334 is 433523313.

It is a happy number.

313325334 is a `hidden beast` number, since 3 + 1 + 3 + 325 + 334 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 313325298 and 313325307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11152 + ... + 27404.

Almost surely, 2313325334 is an apocalyptic number.

313325334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313325334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424814544).

313325334 is an abundant number, since it is smaller than the sum of its proper divisors (536303754).

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

313325334 is a wasteful number, since it uses less digits than its factorization.

313325334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16291 (or 16282 counting only the distinct ones).

The product of its digits is 9720, while the sum is 27.

The square root of 313325334 is about 17700.9981074515. The cubic root of 313325334 is about 679.2012926220.

Adding to 313325334 its reverse (433523313), we get a palindrome (746848647).

The spelling of 313325334 in words is "three hundred thirteen million, three hundred twenty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1377 2142 2754 3213 6426 9639 16253 19278 32506 48759 97518 113771 146277 227542 276301 292554 341313 438831 552602 682626 828903 877662 1023939 1316493 1657806 1934107 2047878 2486709 2632986 3071817 3868214 4973418 5802321 6143634 7460127 9215451 11604642 14920254 17406963 18430902 22380381 34813926 44760762 52220889 104441778 156662667 313325334