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312000332240 = 245174334915287
BaseRepresentation
bin1001000101001001010…
…10110100000111010000
31002211022211200001211202
410202210222310013100
520102434041112430
6355155253530332
731353442031612
oct4424452640720
91084284601752
10312000332240
11110356065553
12505743439a8
132356307b70c
141115ac08db2
1581b0e97d45
hex48a4ab41d0

312000332240 has 160 divisors (see below), whose sum is σ = 788237049600. Its totient is φ = 114391130112.

The previous prime is 312000332219. The next prime is 312000332243. The reversal of 312000332240 is 42233000213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312000332243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20401877 + ... + 20417163.

It is an arithmetic number, because the mean of its divisors is an integer number (4926481560).

Almost surely, 2312000332240 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 312000332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394118524800).

312000332240 is an abundant number, since it is smaller than the sum of its proper divisors (476236717360).

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

312000332240 is a wasteful number, since it uses less digits than its factorization.

312000332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15709 (or 15703 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 312000332240 its reverse (42233000213), we get a palindrome (354233332453).

The spelling of 312000332240 in words is "three hundred twelve billion, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 349 430 680 688 698 731 860 1360 1396 1462 1720 1745 2792 2924 3440 3490 3655 5584 5848 5933 6980 7310 11696 11866 13960 14620 15007 15287 23732 27920 29240 29665 30014 30574 47464 58480 59330 60028 61148 75035 76435 94928 118660 120056 122296 150070 152870 237320 240112 244592 255119 259879 300140 305740 474640 510238 519758 600280 611480 657341 1020476 1039516 1200560 1222960 1275595 1299395 1314682 2040952 2079032 2551190 2598790 2629364 3286705 4081904 4158064 5102380 5197580 5258728 5335163 6573410 10204760 10395160 10517456 10670326 11174797 13146820 20409520 20790320 21340652 22349594 26293640 26675815 42681304 44699188 52587280 53351630 55873985 85362608 89398376 90697771 106703260 111747970 178796752 181395542 213406520 223495940 229412009 362791084 426813040 446991880 453488855 458824018 725582168 893983760 906977710 917648036 1147060045 1451164336 1813955420 1835296072 2294120090 3627910840 3670592144 3900004153 4588240180 7255821680 7800008306 9176480360 15600016612 18352960720 19500020765 31200033224 39000041530 62400066448 78000083060 156000166120 312000332240