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1383030368 = 251941109509
BaseRepresentation
bin101001001101111…
…0101111001100000
310120101102012222222
41102123311321200
510313023432433
6345123050212
746162364336
oct12233657140
93511365888
101383030368
1164a759205
12327210968
131906b9785
14d1975b56
1581641b98
hex526f5e60

1383030368 has 96 divisors (see below), whose sum is σ = 2968812000. Its totient is φ = 632033280.

The previous prime is 1383030361. The next prime is 1383030403. The reversal of 1383030368 is 8630303831.

It is a super-3 number, since 3×13830303683 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383030361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2716898 + ... + 2717406.

It is an arithmetic number, because the mean of its divisors is an integer number (30925125).

Almost surely, 21383030368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383030368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484406000).

1383030368 is an abundant number, since it is smaller than the sum of its proper divisors (1585781632).

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

1383030368 is a wasteful number, since it uses less digits than its factorization.

1383030368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 1383030368 is about 37189.1162573138. The cubic root of 1383030368 is about 1114.1506177782.

The spelling of 1383030368 in words is "one billion, three hundred eighty-three million, thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 41 76 82 109 152 164 218 304 328 436 509 608 656 779 872 1018 1312 1558 1744 2036 2071 3116 3488 4072 4142 4469 6232 8144 8284 8938 9671 12464 16288 16568 17876 19342 20869 24928 33136 35752 38684 41738 55481 66272 71504 77368 83476 84911 110962 143008 154736 166952 169822 221924 309472 333904 339644 396511 443848 667808 679288 793022 887696 1054139 1358576 1586044 1775392 2108278 2274721 2717152 3172088 4216556 4549442 6344176 8433112 9098884 12688352 16866224 18197768 33732448 36395536 43219699 72791072 86439398 172878796 345757592 691515184 1383030368