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342043311340 = 225375912761687
BaseRepresentation
bin1001111101000110101…
…11101011110011101100
31012200212120211112110101
410332203113223303230
521101001041430330
6421044343120444
733466103114143
oct4764327536354
91180776745411
10342043311340
111220725943a5
1256359743124
1326340311323
14127aac4075a
158d6d7614ca
hex4fa35ebcec

342043311340 has 96 divisors (see below), whose sum is σ = 756127088640. Its totient is φ = 129830770944.

The previous prime is 342043311319. The next prime is 342043311343. The reversal of 342043311340 is 43113340243.

It is a junction number, because it is equal to n+sod(n) for n = 342043311299 and 342043311308.

It is not an unprimeable number, because it can be changed into a prime (342043311343) 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, 5513977 + ... + 5575663.

It is an arithmetic number, because the mean of its divisors is an integer number (7876323840).

Almost surely, 2342043311340 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 342043311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378063544320).

342043311340 is an abundant number, since it is smaller than the sum of its proper divisors (414083777300).

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

342043311340 is a wasteful number, since it uses less digits than its factorization.

342043311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61919 (or 61917 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 342043311340 its reverse (43113340243), we get a palindrome (385156651583).

The spelling of 342043311340 in words is "three hundred forty-two billion, forty-three million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 59 74 118 127 148 185 236 254 295 370 508 590 635 740 1180 1270 2183 2540 4366 4699 7493 8732 9398 10915 14986 18796 21830 23495 29972 37465 43660 46990 61687 74930 93980 123374 149860 246748 277241 308435 554482 616870 1108964 1233740 1386205 2282419 2772410 3639533 4564838 5544820 7279066 7834249 9129676 11412095 14558132 15668498 18197665 22824190 31336996 36395330 39171245 45648380 72790660 78342490 134662721 156684980 269325442 289867213 462220691 538650884 579734426 673313605 924441382 1159468852 1346627210 1449336065 1848882764 2311103455 2693254420 2898672130 4622206910 5797344260 9244413820 17102165567 34204331134 68408662268 85510827835 171021655670 342043311340