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332121006 = 23374212087
BaseRepresentation
bin10011110010111…
…100001110101110
3212010221111101000
4103302330032232
51140010333011
652542301130
711141660550
oct2362741656
9763844330
10332121006
11160523478
12932877a6
1353a66309
14321754d0
151e256356
hex13cbc3ae

332121006 has 64 divisors (see below), whose sum is σ = 845890560. Its totient is φ = 94620960.

The previous prime is 332120983. The next prime is 332121029. The reversal of 332121006 is 600121233.

It is an interprime number because it is at equal distance from previous prime (332120983) and next prime (332121029).

It is a super-2 number, since 2×3321210062 = 220608725252904072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 332121006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158095 + ... + 160181.

It is an arithmetic number, because the mean of its divisors is an integer number (13217040).

Almost surely, 2332121006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332121006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422945280).

332121006 is an abundant number, since it is smaller than the sum of its proper divisors (513769554).

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

332121006 is a wasteful number, since it uses less digits than its factorization.

332121006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 332121006 is about 18224.1873892912. The cubic root of 332121006 is about 692.5196724027.

Adding to 332121006 its reverse (600121233), we get a palindrome (932242239).

The spelling of 332121006 in words is "three hundred thirty-two million, one hundred twenty-one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 421 842 1263 2087 2526 2947 3789 4174 5894 6261 7578 8841 11367 12522 14609 17682 18783 22734 26523 29218 37566 43827 53046 56349 79569 87654 112698 131481 159138 262962 394443 788886 878627 1757254 2635881 5271762 6150389 7907643 12300778 15815286 18451167 23722929 36902334 47445858 55353501 110707002 166060503 332121006