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332420240 = 2455378401
BaseRepresentation
bin10011110100000…
…101010010010000
3212011111200211202
4103310011102100
51140044421430
652552530332
711144345135
oct2364052220
9764450752
10332420240
11160708279
12933b09a8
1353b3c589
143221258c
151e2b4d45
hex13d05490

332420240 has 40 divisors (see below), whose sum is σ = 787469688. Its totient is φ = 130457600.

The previous prime is 332420233. The next prime is 332420267. The reversal of 332420240 is 42024233.

It can be written as a sum of positive squares in 4 ways, for example, as 179452816 + 152967424 = 13396^2 + 12368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3324202402 = 221006431923315200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 34961 + ... + 43440.

Almost surely, 2332420240 is an apocalyptic number.

It is an amenable number.

332420240 is an abundant number, since it is smaller than the sum of its proper divisors (455049448).

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

332420240 is a wasteful number, since it uses less digits than its factorization.

332420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78467 (or 78461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 332420240 is about 18232.3953445509. The cubic root of 332420240 is about 692.7275918294.

Subtracting from 332420240 its sum of digits (20), we obtain a triangular number (332420220 = T25784).

Adding to 332420240 its reverse (42024233), we get a palindrome (374444473).

The spelling of 332420240 in words is "three hundred thirty-two million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 78401 156802 313604 392005 627208 784010 1254416 1568020 3136040 4155253 6272080 8310506 16621012 20776265 33242024 41552530 66484048 83105060 166210120 332420240