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342349640892 = 2232719711535981
BaseRepresentation
bin1001111101101011010…
…00001111010010111100
31012201122221020200121100
410332311220033102330
521102113002002032
6421135004533100
733506512635210
oct4766550172274
91181587220540
10342349640892
1112220a4a1316
1256424251190
132638b91710c
14127d97c0940
158d8a5c097c
hex4fb5a0f4bc

342349640892 has 144 divisors (see below), whose sum is σ = 995058896832. Its totient is φ = 97217003520.

The previous prime is 342349640891. The next prime is 342349640909. The reversal of 342349640892 is 298046943243.

342349640892 is a `hidden beast` number, since 3 + 4 + 23 + 496 + 40 + 8 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342349640891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57236542 + ... + 57242522.

It is an arithmetic number, because the mean of its divisors is an integer number (6910131228).

Almost surely, 2342349640892 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 342349640892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497529448416).

342349640892 is an abundant number, since it is smaller than the sum of its proper divisors (652709255940).

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

342349640892 is a wasteful number, since it uses less digits than its factorization.

342349640892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 342349640892 in words is "three hundred forty-two billion, three hundred forty-nine million, six hundred forty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 197 252 394 591 788 1153 1182 1379 1773 2306 2364 2758 3459 3546 4137 4612 5516 5981 6918 7092 8071 8274 10377 11962 12411 13836 16142 16548 17943 20754 23924 24213 24822 32284 35886 41508 41867 48426 49644 53829 71772 72639 83734 96852 107658 125601 145278 167468 215316 227141 251202 290556 376803 454282 502404 681423 753606 908564 1178257 1362846 1507212 1589987 2044269 2356514 2725692 3179974 3534771 4088538 4713028 4769961 6359948 6896093 7069542 8177076 8247799 9539922 10604313 13792186 14139084 14309883 16495598 19079844 20688279 21208626 24743397 27584372 28619766 32991196 41376558 42417252 48272651 49486794 57239532 62064837 74230191 82753116 96545302 98973588 124129674 144817953 148460382 193090604 248259348 289635906 296920764 434453859 579271812 868907718 1358530321 1737815436 2717060642 4075590963 5434121284 8151181926 9509712247 12226772889 16302363852 19019424494 24453545778 28529136741 38038848988 48907091556 57058273482 85587410223 114116546964 171174820446 342349640892