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342030056472 = 233213267419537
BaseRepresentation
bin1001111101000101001…
…01000111110000011000
31012200211122220010012100
410332202211013300120
521100434143301342
6421043151043400
733465552340206
oct4764245076030
91180748803170
10342030056472
11122066060865
1256355210560
132633a650100
14127a9190076
158d6c4e3e4c
hex4fa2947c18

342030056472 has 144 divisors (see below), whose sum is σ = 1018042520040. Its totient is φ = 103669023744.

The previous prime is 342030056429. The next prime is 342030056509. The reversal of 342030056472 is 274650030243.

342030056472 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 3 + 0 + 0 + 5 + 647 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 605488 + ... + 1025024.

Almost surely, 2342030056472 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 342030056472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509021260020).

342030056472 is an abundant number, since it is smaller than the sum of its proper divisors (676012463568).

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

342030056472 is a wasteful number, since it uses less digits than its factorization.

342030056472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419642 (or 419622 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 342030056472 in words is "three hundred forty-two billion, thirty million, fifty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 169 201 234 268 312 338 402 468 507 536 603 676 804 871 936 1014 1206 1352 1521 1608 1742 2028 2412 2613 3042 3484 4056 4824 5226 6084 6968 7839 10452 11323 12168 15678 20904 22646 31356 33969 45292 62712 67938 90584 101907 135876 203814 271752 407628 419537 815256 839074 1258611 1678148 2517222 3356296 3775833 5034444 5453981 7551666 10068888 10907962 15103332 16361943 21815924 28108979 30206664 32723886 43631848 49085829 56217958 65447772 70901753 84326937 98171658 112435916 130895544 141803506 168653874 196343316 212705259 224871832 252980811 283607012 337307748 365416727 392686632 425410518 505961622 567214024 638115777 674615496 730833454 850821036 1011923244 1096250181 1276231554 1461666908 1701642072 2023846488 2192500362 2552463108 2923333816 3288750543 4385000724 4750417451 5104926216 6577501086 8770001448 9500834902 13155002172 14251252353 19001669804 26310004344 28502504706 38003339608 42753757059 57005009412 85507514118 114010018824 171015028236 342030056472