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332023320 = 233352910601
BaseRepresentation
bin10011110010100…
…100011000011000
3212010202112101000
4103302210120120
51134444221240
652540225000
711141103006
oct2362443030
9763675330
10332023320
11160467042
129323b160
1353a30a05
143214ba76
151e237430
hex13ca4618

332023320 has 128 divisors (see below), whose sum is σ = 1145016000. Its totient is φ = 85478400.

The previous prime is 332023313. The next prime is 332023327. The reversal of 332023320 is 23320233.

332023320 is a `hidden beast` number, since 3 + 320 + 23 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (332023313) and next prime (332023327).

It is a super-2 number, since 2×3320233202 = 220478970047644800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332023293 and 332023302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332023327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26020 + ... + 36620.

Almost surely, 2332023320 is an apocalyptic number.

332023320 is a gapful number since it is divisible by the number (30) 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 332023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572508000).

332023320 is an abundant number, since it is smaller than the sum of its proper divisors (812992680).

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

332023320 is a wasteful number, since it uses less digits than its factorization.

332023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10650 (or 10640 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 332023320 is about 18221.5070726875. The cubic root of 332023320 is about 692.4517693301.

Adding to 332023320 its reverse (23320233), we get a palindrome (355343553).

The spelling of 332023320 in words is "three hundred thirty-two million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1740 2088 2610 3132 3480 3915 5220 6264 7830 10440 10601 15660 21202 31320 31803 42404 53005 63606 84808 95409 106010 127212 159015 190818 212020 254424 286227 307429 318030 381636 424040 477045 572454 614858 636060 763272 922287 954090 1144908 1229716 1272120 1431135 1537145 1844574 1908180 2289816 2459432 2766861 2862270 3074290 3689148 3816360 4611435 5533722 5724540 6148580 7378296 8300583 9222870 11067444 11449080 12297160 13834305 16601166 18445740 22134888 27668610 33202332 36891480 41502915 55337220 66404664 83005830 110674440 166011660 332023320