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1380242304 = 27327171161
BaseRepresentation
bin101001001000100…
…1101001110000000
310120012011120111100
41102101031032000
510311320223204
6344543214400
746126603020
oct12221151600
93505146440
101380242304
11649124521
123262a7400
1318cc5172c
14d144ba80
1581290a39
hex5244d380

1380242304 has 96 divisors (see below), whose sum is σ = 4539216240. Its totient is φ = 394352640.

The previous prime is 1380242299. The next prime is 1380242341. The reversal of 1380242304 is 4032420831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 77517 + ... + 93644.

Almost surely, 21380242304 is an apocalyptic number.

1380242304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1380242304 is an abundant number, since it is smaller than the sum of its proper divisors (3158973936).

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

1380242304 is a wasteful number, since it uses less digits than its factorization.

1380242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171188 (or 171173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1380242304 is about 37151.6124010789. The cubic root of 1380242304 is about 1113.4014385372.

The spelling of 1380242304 in words is "one billion, three hundred eighty million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 171161 342322 513483 684644 1026966 1198127 1369288 1540449 2053932 2396254 2738576 3080898 3594381 4107864 4792508 5477152 6161796 7188762 8215728 9585016 10783143 10954304 12323592 14377524 16431456 19170032 21566286 21908608 24647184 28755048 32862912 38340064 43132572 49294368 57510096 65725824 76680128 86265144 98588736 115020192 153360256 172530288 197177472 230040384 345060576 460080768 690121152 1380242304