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332042112 = 2733293313
BaseRepresentation
bin10011110010101…
…000111110000000
3212010210111011000
4103302220332000
51140000321422
652540452000
711141211543
oct2362507600
9763714130
10332042112
1116047a176
129324a000
1353a3942c
143215485a
151e23ccac
hex13ca8f80

332042112 has 128 divisors (see below), whose sum is σ = 1014084000. Its totient is φ = 106831872.

The previous prime is 332042077. The next prime is 332042129. The reversal of 332042112 is 211240233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3320421122 = 220503928282841088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 98568 + ... + 101880.

Almost surely, 2332042112 is an apocalyptic number.

332042112 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 332042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507042000).

332042112 is an abundant number, since it is smaller than the sum of its proper divisors (682041888).

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

332042112 is a wasteful number, since it uses less digits than its factorization.

332042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 332042112 is about 18222.0227197751. The cubic root of 332042112 is about 692.4648329789.

Adding to 332042112 its reverse (211240233), we get a palindrome (543282345).

The spelling of 332042112 in words is "three hundred thirty-two million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1392 1566 1728 1856 2088 2784 3132 3313 3456 3712 4176 5568 6264 6626 8352 9939 11136 12528 13252 16704 19878 25056 26504 29817 33408 39756 50112 53008 59634 79512 89451 96077 100224 106016 119268 159024 178902 192154 212032 238536 288231 318048 357804 384308 424064 477072 576462 636096 715608 768616 864693 954144 1152924 1272192 1431216 1537232 1729386 1908288 2305848 2594079 2862432 3074464 3458772 3816576 4611696 5188158 5724864 6148928 6917544 9223392 10376316 11449728 12297856 13835088 18446784 20752632 27670176 36893568 41505264 55340352 83010528 110680704 166021056 332042112