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1330064352 = 253229163977
BaseRepresentation
bin100111101000111…
…0010101111100000
310102200202021021200
41033101302233200
510210444024402
6335551521200
744650234431
oct11721625740
93380667250
101330064352
11622872041
12311529200
13182733336
14c8909488
157bb7d21c
hex4f472be0

1330064352 has 144 divisors (see below), whose sum is σ = 3940831440. Its totient is φ = 425005056.

The previous prime is 1330064321. The next prime is 1330064383. The reversal of 1330064352 is 2534600331.

1330064352 = T9563 + T9564 + ... + T9591.

It is a happy number.

1330064352 is a `hidden beast` number, since 1 + 3 + 300 + 6 + 4 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (1330064321) and next prime (1330064383).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13300643522 = 3538142360922359808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360888 + ... + 1361864.

It is an arithmetic number, because the mean of its divisors is an integer number (27366885).

Almost surely, 21330064352 is an apocalyptic number.

1330064352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970415720).

1330064352 is an abundant number, since it is smaller than the sum of its proper divisors (2610767088).

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

1330064352 is a wasteful number, since it uses less digits than its factorization.

1330064352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1330064352 is about 36470.0473265391. The cubic root of 1330064352 is about 1099.7421853089.

Adding to 1330064352 its reverse (2534600331), we get a palindrome (3864664683).

The spelling of 1330064352 in words is "one billion, three hundred thirty million, sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 163 174 232 261 288 326 348 464 489 522 652 696 928 977 978 1044 1304 1392 1467 1954 1956 2088 2608 2784 2931 2934 3908 3912 4176 4727 5216 5862 5868 7816 7824 8352 8793 9454 11724 11736 14181 15632 15648 17586 18908 23448 23472 28333 28362 31264 35172 37816 42543 46896 46944 56666 56724 70344 75632 84999 85086 93792 113332 113448 140688 151264 159251 169998 170172 226664 226896 254997 281376 318502 339996 340344 453328 453792 477753 509994 637004 679992 680688 906656 955506 1019988 1274008 1359984 1361376 1433259 1911012 2039976 2548016 2719968 2866518 3822024 4079952 4618279 5096032 5733036 7644048 8159904 9236558 11466072 13854837 15288096 18473116 22932144 27709674 36946232 41564511 45864288 55419348 73892464 83129022 110838696 147784928 166258044 221677392 332516088 443354784 665032176 1330064352