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332542144 = 2611412281
BaseRepresentation
bin10011110100100…
…011000011000000
3212011201220001201
4103310203003000
51140112322034
652555310544
711145363424
oct2364430300
9764656051
10332542144
11160790920
129344b454
1353b82bcc
1432244b84
151e2db014
hex13d230c0

332542144 has 84 divisors (see below), whose sum is σ = 740490264. Its totient is φ = 146944000.

The previous prime is 332542141. The next prime is 332542153. The reversal of 332542144 is 441245233.

It is a happy number.

332542144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3325421442 = 221168555072233472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332542141) 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 11 ways as a sum of consecutive naturals, for example, 1183284 + ... + 1183564.

Almost surely, 2332542144 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 332542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370245132).

332542144 is an abundant number, since it is smaller than the sum of its proper divisors (407948120).

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

332542144 is a wasteful number, since it uses less digits than its factorization.

332542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 335 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 332542144 is about 18235.7380985799. The cubic root of 332542144 is about 692.8122597023.

Adding to 332542144 its reverse (441245233), we get a palindrome (773787377).

The spelling of 332542144 in words is "three hundred thirty-two million, five hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 281 328 352 451 562 656 704 902 1124 1312 1681 1804 2248 2624 3091 3362 3608 4496 6182 6724 7216 8992 11521 12364 13448 14432 17984 18491 23042 24728 26896 28864 36982 46084 49456 53792 73964 92168 98912 107584 126731 147928 184336 197824 253462 295856 368672 472361 506924 591712 737344 944722 1013848 1183424 1889444 2027696 3778888 4055392 5195971 7557776 8110784 10391942 15115552 20783884 30231104 41567768 83135536 166271072 332542144