Search a number
-
+
349314680 = 2351113173353
BaseRepresentation
bin10100110100100…
…001111001111000
3220100022000122202
4110310201321320
51203411032210
654355005332
711441061101
oct2464417170
9810260582
10349314680
1116a1a7320
1298b99848
13574a62a0
143456d3a8
1520a009a5
hex14d21e78

349314680 has 128 divisors (see below), whose sum is σ = 931331520. Its totient is φ = 116244480.

The previous prime is 349314673. The next prime is 349314683. The reversal of 349314680 is 86413943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349314683) 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, 989384 + ... + 989736.

Almost surely, 2349314680 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 349314680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465665760).

349314680 is an abundant number, since it is smaller than the sum of its proper divisors (582016840).

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

349314680 is a wasteful number, since it uses less digits than its factorization.

349314680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 349314680 is about 18689.9620117324. The cubic root of 349314680 is about 704.2696055448.

The spelling of 349314680 in words is "three hundred forty-nine million, three hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 173 220 260 286 346 353 440 520 572 692 706 715 865 1144 1384 1412 1430 1730 1765 1903 2249 2824 2860 3460 3530 3806 3883 4498 4589 5720 6920 7060 7612 7766 8996 9178 9515 11245 14120 15224 15532 17992 18356 19030 19415 22490 22945 24739 31064 36712 38060 38830 44980 45890 49478 50479 61069 76120 77660 89960 91780 98956 100958 122138 123695 155320 183560 197912 201916 244276 247390 252395 305345 403832 488552 494780 504790 610690 671759 793897 989560 1009580 1221380 1343518 1587794 2019160 2442760 2687036 3175588 3358795 3969485 5374072 6351176 6717590 7938970 8732867 13435180 15877940 17465734 26870360 31755880 34931468 43664335 69862936 87328670 174657340 349314680