Search a number
-
+
1345206312 = 233331792543
BaseRepresentation
bin101000000101110…
…0011100000101000
310110202020120011000
41100023203200220
510223333100222
6341252235000
745223031202
oct12013434050
93422216130
101345206312
1163037445a
1231660ba60
13185905488
14ca92b772
157d16e9ac
hex502e3828

1345206312 has 128 divisors (see below), whose sum is σ = 3907584000. Its totient is φ = 428276160.

The previous prime is 1345206287. The next prime is 1345206341. The reversal of 1345206312 is 2136025431.

1345206312 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 20 + 631 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 527713 + ... + 530255.

It is an arithmetic number, because the mean of its divisors is an integer number (30528000).

Almost surely, 21345206312 is an apocalyptic number.

1345206312 is a gapful number since it is divisible by the number (12) 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 1345206312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953792000).

1345206312 is an abundant number, since it is smaller than the sum of its proper divisors (2562377688).

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

1345206312 is a wasteful number, since it uses less digits than its factorization.

1345206312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1345206312 is about 36677.0542982939. The cubic root of 1345206312 is about 1103.8997427860.

The spelling of 1345206312 in words is "one billion, three hundred forty-five million, two hundred six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 79 93 108 124 158 186 216 237 248 279 316 372 474 558 632 711 744 837 948 1116 1422 1674 1896 2133 2232 2449 2543 2844 3348 4266 4898 5086 5688 6696 7347 7629 8532 9796 10172 14694 15258 17064 19592 20344 22041 22887 29388 30516 44082 45774 58776 61032 66123 68661 78833 88164 91548 132246 137322 157666 176328 183096 200897 236499 264492 274644 315332 401794 472998 528984 549288 602691 630664 709497 803588 945996 1205382 1418994 1607176 1808073 1891992 2128491 2410764 2837988 3616146 4256982 4821528 5424219 5675976 6227807 7232292 8513964 10848438 12455614 14464584 17027928 18683421 21696876 24911228 37366842 43393752 49822456 56050263 74733684 112100526 149467368 168150789 224201052 336301578 448402104 672603156 1345206312