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321342334040 = 235713149592489
BaseRepresentation
bin1001010110100010111…
…11101110010001011000
31010201102220021221010102
410223101133232101120
520231102114142130
6403342253234532
732134106525510
oct4532137562130
91121386257112
10321342334040
1111430a4087a2
1252340a92a48
13243c1644530
14117a5808840
15855b1cd645
hex4ad17ee458

321342334040 has 128 divisors (see below), whose sum is σ = 895844880000. Its totient is φ = 101016834048.

The previous prime is 321342334007. The next prime is 321342334051. The reversal of 321342334040 is 40433243123.

It is a junction number, because it is equal to n+sod(n) for n = 321342333994 and 321342334012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246116 + ... + 838604.

It is an arithmetic number, because the mean of its divisors is an integer number (6998788125).

Almost surely, 2321342334040 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 321342334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447922440000).

321342334040 is an abundant number, since it is smaller than the sum of its proper divisors (574502545960).

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

321342334040 is a wasteful number, since it uses less digits than its factorization.

321342334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592669 (or 592665 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 321342334040 its reverse (40433243123), we get a palindrome (361775577163).

The spelling of 321342334040 in words is "three hundred twenty-one billion, three hundred forty-two million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 149 182 260 280 298 364 455 520 596 728 745 910 1043 1192 1490 1820 1937 2086 2980 3640 3874 4172 5215 5960 7748 8344 9685 10430 13559 15496 19370 20860 27118 38740 41720 54236 67795 77480 108472 135590 271180 542360 592489 1184978 2369956 2962445 4147423 4739912 5924890 7702357 8294846 11849780 15404714 16589692 20737115 23699560 30809428 33179384 38511785 41474230 53916499 61618856 77023570 82948460 88280861 107832998 154047140 165896920 176561722 215665996 269582495 308094280 353123444 431331992 441404305 539164990 617966027 706246888 882808610 1078329980 1147651193 1235932054 1765617220 2156659960 2295302386 2471864108 3089830135 3531234440 4590604772 4943728216 5738255965 6179660270 8033558351 9181209544 11476511930 12359320540 16067116702 22953023860 24718641080 32134233404 40167791755 45906047720 64268466808 80335583510 160671167020 321342334040