Search a number
-
+
354710305068 = 223715149335669
BaseRepresentation
bin1010010100101100110…
…00011011100100101100
31020220120101000111012020
411022112120123210230
521302421314230233
6430541320510140
734425023563050
oct5122630334454
91226511014166
10354710305068
111274827a1259
12588b391b350
13275ab6c9aa2
141324d283c60
1593608349b3
hex529661b92c

354710305068 has 96 divisors (see below), whose sum is σ = 952519357440. Its totient is φ = 100636473600.

The previous prime is 354710305057. The next prime is 354710305069. The reversal of 354710305068 is 860503017453.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (354710305069) 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, 62567338 + ... + 62573006.

It is an arithmetic number, because the mean of its divisors is an integer number (9922076640).

Almost surely, 2354710305068 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 354710305068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476259678720).

354710305068 is an abundant number, since it is smaller than the sum of its proper divisors (597809052372).

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

354710305068 is a wasteful number, since it uses less digits than its factorization.

354710305068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10767 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 354710305068 in words is "three hundred fifty-four billion, seven hundred ten million, three hundred five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1812 2114 3171 4228 4933 5669 6342 9866 11338 12684 14799 17007 19732 22676 29598 34014 34531 39683 59196 68028 69062 79366 103593 119049 138124 158732 207186 238098 414372 476196 744883 856019 1489766 1712038 2234649 2568057 2979532 3424076 4469298 5136114 5214181 5992133 8938596 10272228 10428362 11984266 15642543 17976399 20856724 23968532 27965177 31285086 35952798 55930354 62570172 71905596 83895531 111860708 167791062 195756239 335582124 391512478 587268717 783024956 1174537434 2349074868 4222741727 8445483454 12668225181 16890966908 25336450362 29559192089 50672900724 59118384178 88677576267 118236768356 177355152534 354710305068