Search a number
-
+
340623936 = 26327692
BaseRepresentation
bin10100010011011…
…000001001000000
3212201221111012100
4110103120021000
51144144431221
653444430400
711304153462
oct2423301100
9781844170
10340623936
11165300894
12960a8400
1355752633
143334a132
151ed85926
hex144d8240

340623936 has 63 divisors (see below), whose sum is σ = 977608281. Its totient is φ = 113393664.

The previous prime is 340623929. The next prime is 340623953. The reversal of 340623936 is 639326043.

The square root of 340623936 is 18456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 133263936 + 207360000 = 11544^2 + 14400^2 .

It is a super-2 number, since 2×3406239362 = 232049331552264192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 340623936.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 442560 + ... + 443328.

Almost surely, 2340623936 is an apocalyptic number.

340623936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

340623936 is the 18456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340623936

340623936 is an abundant number, since it is smaller than the sum of its proper divisors (636984345).

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

340623936 is an frugal number, since it uses more digits than its factorization.

340623936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The cubic root of 340623936 is about 698.3798831410.

Multiplying 340623936 by its sum of digits (36), we get a square (12262461696 = 1107362).

340623936 divided by its sum of digits (36) gives a square (9461776 = 30762).

Adding to 340623936 its reverse (639326043), we get a palindrome (979949979).

The spelling of 340623936 in words is "three hundred forty million, six hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 769 1538 2307 3076 4614 6152 6921 9228 12304 13842 18456 24608 27684 36912 49216 55368 73824 110736 147648 221472 442944 591361 1182722 1774083 2365444 3548166 4730888 5322249 7096332 9461776 10644498 14192664 18923552 21288996 28385328 37847104 42577992 56770656 85155984 113541312 170311968 340623936