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1332330984 = 233315140849
BaseRepresentation
bin100111101101001…
…1100000111101000
310102212000102112000
41033122130013220
510212034042414
6340112251000
745005424615
oct11732340750
93385012460
101332330984
1162407aa96
12312240a60
13183047c3a
14c8d3950c
157be79b09
hex4f69c1e8

1332330984 has 64 divisors (see below), whose sum is σ = 3725520000. Its totient is φ = 441158400.

The previous prime is 1332330973. The next prime is 1332330991. The reversal of 1332330984 is 4890332331.

1332330984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12192 + ... + 53040.

It is an arithmetic number, because the mean of its divisors is an integer number (58211250).

Almost surely, 21332330984 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 1332330984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862760000).

1332330984 is an abundant number, since it is smaller than the sum of its proper divisors (2393189016).

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

1332330984 is a wasteful number, since it uses less digits than its factorization.

1332330984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41015 (or 41005 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1332330984 is about 36501.1093530046. The cubic root of 1332330984 is about 1100.3665401075.

The spelling of 1332330984 in words is "one billion, three hundred thirty-two million, three hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 302 453 604 906 1208 1359 1812 2718 3624 4077 5436 8154 10872 16308 32616 40849 81698 122547 163396 245094 326792 367641 490188 735282 980376 1102923 1470564 2205846 2941128 4411692 6168199 8823384 12336398 18504597 24672796 37009194 49345592 55513791 74018388 111027582 148036776 166541373 222055164 333082746 444110328 666165492 1332330984