Search a number
-
+
346240063092 = 223711761492403
BaseRepresentation
bin1010000100111011000…
…01000001011001110100
31020002201001202121120110
411002131201001121310
521133044424004332
6423021022103020
734005102656040
oct5023541013164
91202631677513
10346240063092
11123926542080
125712b11aa70
132685b9206a1
1412a8836d020
159016ded4cc
hex509d841674

346240063092 has 96 divisors (see below), whose sum is σ = 1008569447424. Its totient is φ = 89814124800.

The previous prime is 346240063079. The next prime is 346240063093. The reversal of 346240063092 is 290360042643.

It is a super-3 number, since 3×3462400630923 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 346240063092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346240063093) 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, 456963 + ... + 949365.

It is an arithmetic number, because the mean of its divisors is an integer number (10505931744).

Almost surely, 2346240063092 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 346240063092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504284723712).

346240063092 is an abundant number, since it is smaller than the sum of its proper divisors (662329384332).

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

346240063092 is a wasteful number, since it uses less digits than its factorization.

346240063092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493189 (or 493187 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 346240063092 in words is "three hundred forty-six billion, two hundred forty million, sixty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 761 924 1522 2283 3044 4566 5327 8371 9132 10654 15981 16742 21308 25113 31962 33484 50226 58597 63924 100452 117194 175791 234388 351582 492403 703164 984806 1477209 1969612 2954418 3446821 5416433 5908836 6893642 10340463 10832866 13787284 16249299 20680926 21665732 32498598 37915031 41361852 64997196 75830062 113745093 151660124 227490186 374718683 454980372 749437366 1124156049 1498874732 2248312098 2623030781 4121905513 4496624196 5246061562 7869092343 8243811026 10492123124 12365716539 15738184686 16487622052 24731433078 28853338591 31476369372 49462866156 57706677182 86560015773 115413354364 173120031546 346240063092