Search a number
-
+
346397920 = 25511196817
BaseRepresentation
bin10100101001011…
…001110011100000
3220010210211121121
4110221121303200
51202134213140
654212302024
711404222321
oct2451316340
9803724547
10346397920
11168594980
1298011914
13569c47ab
1434010448
152062664a
hex14a59ce0

346397920 has 48 divisors (see below), whose sum is σ = 892766448. Its totient is φ = 125962240.

The previous prime is 346397903. The next prime is 346397923. The reversal of 346397920 is 29793643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346397923) 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 7 ways as a sum of consecutive naturals, for example, 96649 + ... + 100168.

It is an arithmetic number, because the mean of its divisors is an integer number (18599301).

Almost surely, 2346397920 is an apocalyptic number.

It is an amenable number.

346397920 is an abundant number, since it is smaller than the sum of its proper divisors (546368528).

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

346397920 is a wasteful number, since it uses less digits than its factorization.

346397920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196843 (or 196835 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 43.

The square root of 346397920 is about 18611.7683200710. The cubic root of 346397920 is about 702.3039189668.

The spelling of 346397920 in words is "three hundred forty-six million, three hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 196817 393634 787268 984085 1574536 1968170 2164987 3149072 3936340 4329974 6298144 7872680 8659948 10824935 15745360 17319896 21649870 31490720 34639792 43299740 69279584 86599480 173198960 346397920