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1383062328 = 233299719267
BaseRepresentation
bin101001001101111…
…1101101100111000
310120101110211211200
41102123331230320
510313030443303
6345123454200
746162556454
oct12233755470
93511424750
101383062328
1164a78021a
12327227360
131906cb19b
14d1983664
158164b3a3
hex526fdb38

1383062328 has 48 divisors (see below), whose sum is σ = 3749745480. Its totient is φ = 460534464.

The previous prime is 1383062327. The next prime is 1383062341. The reversal of 1383062328 is 8232603831.

1383062328 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 0 + 623 + 28 = 666.

It is a super-2 number, since 2×13830623282 = 3825722806265559168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1383062292 and 1383062301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383062327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62151 + ... + 81417.

Almost surely, 21383062328 is an apocalyptic number.

1383062328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1383062328 is an abundant number, since it is smaller than the sum of its proper divisors (2366683152).

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

1383062328 is a wasteful number, since it uses less digits than its factorization.

1383062328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20276 (or 20269 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1383062328 is about 37189.5459504415. The cubic root of 1383062328 is about 1114.1591998938.

The spelling of 1383062328 in words is "one billion, three hundred eighty-three million, sixty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 997 1994 2991 3988 5982 7976 8973 11964 17946 19267 23928 35892 38534 57801 71784 77068 115602 154136 173403 231204 346806 462408 693612 1387224 19209199 38418398 57627597 76836796 115255194 153673592 172882791 230510388 345765582 461020776 691531164 1383062328