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1345332096 = 27321167823
BaseRepresentation
bin101000000110000…
…0010001110000000
310110202110221200200
41100030002032000
510223401111341
6341255045200
745224064003
oct12014021600
93422427620
101345332096
1163044aa09
12316670800
1318594a7c4
14ca96153a
157d196db6
hex50302380

1345332096 has 48 divisors (see below), whose sum is σ = 3871336560. Its totient is φ = 448443648.

The previous prime is 1345332059. The next prime is 1345332103. The reversal of 1345332096 is 6902335431.

It is a happy number.

1345332096 is a `hidden beast` number, since 1 + 34 + 533 + 2 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1345332096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 582760 + ... + 585063.

It is an arithmetic number, because the mean of its divisors is an integer number (80652845).

Almost surely, 21345332096 is an apocalyptic number.

1345332096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1345332096 is an abundant number, since it is smaller than the sum of its proper divisors (2526004464).

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

1345332096 is a wasteful number, since it uses less digits than its factorization.

1345332096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167843 (or 1167828 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1345332096 is about 36678.7690087876. The cubic root of 1345332096 is about 1103.9341485611.

The spelling of 1345332096 in words is "one billion, three hundred forty-five million, three hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1167823 2335646 3503469 4671292 7006938 9342584 10510407 14013876 18685168 21020814 28027752 37370336 42041628 56055504 74740672 84083256 112111008 149481344 168166512 224222016 336333024 448444032 672666048 1345332096