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1214256384 = 28321147911
BaseRepresentation
bin100100001100000…
…0001010100000000
310010121211121121200
41020120001110000
54441322201014
6320253421200
742043003035
oct11030012400
93117747550
101214256384
11573463880
1229a79a800
13164746503
14b73a138c
1571904a09
hex48601500

1214256384 has 108 divisors (see below), whose sum is σ = 3819352992. Its totient is φ = 367948800.

The previous prime is 1214256371. The next prime is 1214256401. The reversal of 1214256384 is 4836524121.

It is a happy number.

1214256384 is a `hidden beast` number, since 1 + 2 + 14 + 2 + 5 + 638 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1389 + ... + 49299.

Almost surely, 21214256384 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 1214256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909676496).

1214256384 is an abundant number, since it is smaller than the sum of its proper divisors (2605096608).

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

1214256384 is a wasteful number, since it uses less digits than its factorization.

1214256384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47944 (or 47927 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1214256384 is about 34846.1817707479. The cubic root of 1214256384 is about 1066.8502545113.

The spelling of 1214256384 in words is "one billion, two hundred fourteen million, two hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 47911 95822 143733 191644 287466 383288 431199 527021 574932 766576 862398 1054042 1149864 1533152 1581063 1724796 2108084 2299728 3066304 3162126 3449592 4216168 4599456 4743189 6132608 6324252 6899184 8432336 9198912 9486378 12265216 12648504 13798368 16864672 18397824 18972756 25297008 27596736 33729344 36795648 37945512 50594016 55193472 67458688 75891024 101188032 110386944 134917376 151782048 202376064 303564096 404752128 607128192 1214256384