Search a number
-
+
342044032 = 2711277877
BaseRepresentation
bin10100011000110…
…010110110000000
3212211121122012111
4110120302312000
51200030402112
653535105104
711322216631
oct2430626600
9784548174
10342044032
11166090820
1296672194
1355b2bb25
14335d9888
15200665a7
hex14632d80

342044032 has 64 divisors (see below), whose sum is σ = 746897040. Its totient is φ = 154736640.

The previous prime is 342043993. The next prime is 342044039. The reversal of 342044032 is 230440243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 342043994 and 342044012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342044039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389578 + ... + 390454.

Almost surely, 2342044032 is an apocalyptic number.

342044032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373448520).

342044032 is an abundant number, since it is smaller than the sum of its proper divisors (404853008).

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

342044032 is a wasteful number, since it uses less digits than its factorization.

342044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 342044032 is about 18494.4324595268. The cubic root of 342044032 is about 699.3490765326.

Adding to 342044032 its reverse (230440243), we get a palindrome (572484275).

The spelling of 342044032 in words is "three hundred forty-two million, forty-four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 277 352 554 704 877 1108 1408 1754 2216 3047 3508 4432 6094 7016 8864 9647 12188 14032 17728 19294 24376 28064 35456 38588 48752 56128 77176 97504 112256 154352 195008 242929 308704 390016 485858 617408 971716 1234816 1943432 2672219 3886864 5344438 7773728 10688876 15547456 21377752 31094912 42755504 85511008 171022016 342044032