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1320008352 = 253131057699
BaseRepresentation
bin100111010101101…
…1011101010100000
310101222211101001020
41032223123222200
510200410231402
6334552205440
744465612565
oct11653335240
93358741036
101320008352
116181238a3
1230a099880
13180622140
14c744c86c
157ad438bc
hex4eadbaa0

1320008352 has 48 divisors (see below), whose sum is σ = 3731565600. Its totient is φ = 406156032.

The previous prime is 1320008329. The next prime is 1320008353. The reversal of 1320008352 is 2538000231.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (1320008353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527602 + ... + 530097.

It is an arithmetic number, because the mean of its divisors is an integer number (77740950).

Almost surely, 21320008352 is an apocalyptic number.

1320008352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1320008352 is an abundant number, since it is smaller than the sum of its proper divisors (2411557248).

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

1320008352 is a wasteful number, since it uses less digits than its factorization.

1320008352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057725 (or 1057717 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1320008352 is about 36331.9191896052. The cubic root of 1320008352 is about 1096.9636240728.

Adding to 1320008352 its reverse (2538000231), we get a palindrome (3858008583).

The spelling of 1320008352 in words is "one billion, three hundred twenty million, eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1057699 2115398 3173097 4230796 6346194 8461592 12692388 13750087 16923184 25384776 27500174 33846368 41250261 50769552 55000348 82500522 101539104 110000696 165001044 220001392 330002088 440002784 660004176 1320008352