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349356940 = 225432711499
BaseRepresentation
bin10100110100101…
…100001110001100
3220100101011121221
4110310230032030
51203413410230
654355533124
711441325232
oct2464541614
9810334557
10349356940
1116a226049
1298bba1a4
13574bc5aa
1434580952
1520a0d27a
hex14d2c38c

349356940 has 48 divisors (see below), whose sum is σ = 753984000. Its totient is φ = 135898560.

The previous prime is 349356937. The next prime is 349356947. The reversal of 349356940 is 49653943.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (349356947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232311 + ... + 233809.

It is an arithmetic number, because the mean of its divisors is an integer number (15708000).

Almost surely, 2349356940 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 349356940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376992000).

349356940 is an abundant number, since it is smaller than the sum of its proper divisors (404627060).

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

349356940 is a wasteful number, since it uses less digits than its factorization.

349356940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The square root of 349356940 is about 18691.0925309357. The cubic root of 349356940 is about 704.2980051848.

The spelling of 349356940 in words is "three hundred forty-nine million, three hundred fifty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 271 430 542 860 1084 1355 1499 2710 2998 5420 5996 7495 11653 14990 23306 29980 46612 58265 64457 116530 128914 233060 257828 322285 406229 644570 812458 1289140 1624916 2031145 4062290 8124580 17467847 34935694 69871388 87339235 174678470 349356940