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321312342 = 2313171671451
BaseRepresentation
bin10011001001101…
…101011001010110
3211101121100200010
4103021231121112
51124223443332
651514501050
710651052451
oct2311553126
9741540603
10321312342
1115541079a
128b734786
1351750660
1430960498
151d31d9cc
hex1326d656

321312342 has 64 divisors (see below), whose sum is σ = 737662464. Its totient is φ = 92428800.

The previous prime is 321312331. The next prime is 321312349. The reversal of 321312342 is 243213123.

It is a super-2 number, since 2×3213123422 = 206483242243049928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321312349) 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, 220717 + ... + 222167.

It is an arithmetic number, because the mean of its divisors is an integer number (11525976).

Almost surely, 2321312342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321312342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368831232).

321312342 is an abundant number, since it is smaller than the sum of its proper divisors (416350122).

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

321312342 is a wasteful number, since it uses less digits than its factorization.

321312342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653.

The product of its digits is 864, while the sum is 21.

The square root of 321312342 is about 17925.1873630375. The cubic root of 321312342 is about 684.9241338892.

Adding to 321312342 its reverse (243213123), we get a palindrome (564525465).

The spelling of 321312342 in words is "three hundred twenty-one million, three hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 167 221 334 442 501 663 1002 1326 1451 2171 2839 2902 4342 4353 5678 6513 8517 8706 13026 17034 18863 24667 36907 37726 49334 56589 73814 74001 110721 113178 148002 221442 242317 320671 484634 641342 726951 962013 1453902 1924026 3150121 4119389 6300242 8238778 9450363 12358167 18900726 24716334 53552057 107104114 160656171 321312342