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1130408352 = 25331308343
BaseRepresentation
bin100001101100000…
…1010100110100000
32220210001200202000
41003120022212200
54303341031402
6304100324000
740004212113
oct10330124640
92823050660
101130408352
115300a4587
122766a3600
131502697a8
14aa1b657a
1569390c1c
hex4360a9a0

1130408352 has 48 divisors (see below), whose sum is σ = 3297026880. Its totient is φ = 376802496.

The previous prime is 1130408351. The next prime is 1130408399. The reversal of 1130408352 is 2538040311.

It is a happy number.

1130408352 is a `hidden beast` number, since 1 + 1 + 304 + 0 + 8 + 352 = 666.

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

It is a super-3 number, since 3×11304083523 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1130408351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653308 + ... + 655035.

It is an arithmetic number, because the mean of its divisors is an integer number (68688060).

Almost surely, 21130408352 is an apocalyptic number.

1130408352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1130408352 is an abundant number, since it is smaller than the sum of its proper divisors (2166618528).

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

1130408352 is a wasteful number, since it uses less digits than its factorization.

1130408352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308362 (or 1308348 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1130408352 is about 33621.5459489893. The cubic root of 1130408352 is about 1041.7058887020.

Adding to 1130408352 its reverse (2538040311), we get a palindrome (3668448663).

The spelling of 1130408352 in words is "one billion, one hundred thirty million, four hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1308343 2616686 3925029 5233372 7850058 10466744 11775087 15700116 20933488 23550174 31400232 35325261 41866976 47100348 62800464 70650522 94200696 125600928 141301044 188401392 282602088 376802784 565204176 1130408352