Search a number
-
+
334721490642 = 235711139229281
BaseRepresentation
bin1001101111011101111…
…01001001111011010010
31011222222022112111200000
410313232331021323102
520441002200200032
6413434031110430
733116465504130
oct4675675117322
91158868474600
10334721490642
11119a55612110
1254a55672416
132574443a546
14122b4670750
158a90a77e7c
hex4deef49ed2

334721490642 has 384 divisors, whose sum is σ = 951916492800. Its totient is φ = 85632422400.

The previous prime is 334721490637. The next prime is 334721490683. The reversal of 334721490642 is 246094127433.

334721490642 is a `hidden beast` number, since 3 + 34 + 72 + 1 + 490 + 64 + 2 = 666.

It is a super-2 number, since 2×3347214906422 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1191179542 + ... + 1191179822.

It is an arithmetic number, because the mean of its divisors is an integer number (2478949200).

Almost surely, 2334721490642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334721490642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475958246400).

334721490642 is an abundant number, since it is smaller than the sum of its proper divisors (617195002158).

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

334721490642 is a wasteful number, since it uses less digits than its factorization.

334721490642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 334721490642 in words is "three hundred thirty-four billion, seven hundred twenty-one million, four hundred ninety thousand, six hundred forty-two".