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312304452240 = 243511118297141
BaseRepresentation
bin1001000101101101100…
…10111100001010010000
31002212010000220222001110
410202312302330022100
520104044414432430
6355245400133320
731364124021054
oct4426662741220
91085100828043
10312304452240
111104a17a33a0
125063a167240
13235b108c891
1411189371c64
1581cca1c7b0
hex48b6cbc290

312304452240 has 80 divisors (see below), whose sum is σ = 1056156883776. Its totient is φ = 75710169600.

The previous prime is 312304452217. The next prime is 312304452269. The reversal of 312304452240 is 42254403213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312304452198 and 312304452207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59145931 + ... + 59151210.

Almost surely, 2312304452240 is an apocalyptic number.

312304452240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312304452240 is an abundant number, since it is smaller than the sum of its proper divisors (743852431536).

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

312304452240 is a wasteful number, since it uses less digits than its factorization.

312304452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118297168 (or 118297162 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 312304452240 its reverse (42254403213), we get a palindrome (354558855453).

The spelling of 312304452240 in words is "three hundred twelve billion, three hundred four million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 118297141 236594282 354891423 473188564 591485705 709782846 946377128 1182971410 1301268551 1419565692 1774457115 1892754256 2365942820 2602537102 2839131384 3548914230 3903805653 4731885640 5205074204 5678262768 6506342755 7097828460 7807611306 9463771280 10410148408 13012685510 14195656920 15615222612 19519028265 20820296816 26025371020 28391313840 31230445224 39038056530 52050742040 62460890448 78076113060 104101484080 156152226120 312304452240