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1332430320 = 243513617001
BaseRepresentation
bin100111101101011…
…0100010111110000
310102212012110210010
41033122310113300
510212100232240
6340114334520
745006320334
oct11732642760
93385173703
101332430320
11624138691
1231228a440
13183081210
14c8d637c4
157be99280
hex4f6b45f0

1332430320 has 160 divisors (see below), whose sum is σ = 4521835584. Its totient is φ = 322560000.

The previous prime is 1332430283. The next prime is 1332430339. The reversal of 1332430320 is 230342331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186820 + ... + 193820.

Almost surely, 21332430320 is an apocalyptic number.

1332430320 is a gapful number since it is divisible by the number (10) 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 1332430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260917792).

1332430320 is an abundant number, since it is smaller than the sum of its proper divisors (3189405264).

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

1332430320 is a wasteful number, since it uses less digits than its factorization.

1332430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091 (or 7085 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 1332430320 is about 36502.4700534087. The cubic root of 1332430320 is about 1100.3938864890.

Adding to 1332430320 its reverse (230342331), we get a palindrome (1562772651).

The spelling of 1332430320 in words is "one billion, three hundred thirty-two million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 78 80 104 120 122 130 156 183 195 208 240 244 260 305 312 366 390 488 520 610 624 732 780 793 915 976 1040 1220 1464 1560 1586 1830 2379 2440 2928 3120 3172 3660 3965 4758 4880 6344 7001 7320 7930 9516 11895 12688 14002 14640 15860 19032 21003 23790 28004 31720 35005 38064 42006 47580 56008 63440 70010 84012 91013 95160 105015 112016 140020 168024 182026 190320 210030 273039 280040 336048 364052 420060 427061 455065 546078 560080 728104 840120 854122 910130 1092156 1281183 1365195 1456208 1680240 1708244 1820260 2135305 2184312 2562366 2730390 3416488 3640520 4270610 4368624 5124732 5460780 5551793 6405915 6832976 7281040 8541220 10249464 10921560 11103586 12811830 16655379 17082440 20498928 21843120 22207172 25623660 27758965 33310758 34164880 44414344 51247320 55517930 66621516 83276895 88828688 102494640 111035860 133243032 166553790 222071720 266486064 333107580 444143440 666215160 1332430320