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312104230400 = 295231786553
BaseRepresentation
bin1001000101010101101…
…11001001111000000000
31002211121002011122022202
410202222313021320000
520103142140333100
6355213444452332
731356143120654
oct4425267117000
91084532148282
10312104230400
111103a97797a6
12505a30aa0a8
132357b758611
141116a932a64
1581ba16c7d5
hex48aadc9e00

312104230400 has 120 divisors (see below), whose sum is σ = 798207584064. Its totient is φ = 120814387200.

The previous prime is 312104230391. The next prime is 312104230421. The reversal of 312104230400 is 4032401213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3524 + ... + 790076.

Almost surely, 2312104230400 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 312104230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399103792032).

312104230400 is an abundant number, since it is smaller than the sum of its proper divisors (486103353664).

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

312104230400 is an equidigital number, since it uses as much as digits as its factorization.

312104230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786612 (or 786591 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312104230400 its reverse (4032401213), we get a palindrome (316136631613).

The spelling of 312104230400 in words is "three hundred twelve billion, one hundred four million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 256 310 320 400 496 512 620 640 775 800 992 1240 1280 1550 1600 1984 2480 2560 3100 3200 3968 4960 6200 6400 7936 9920 12400 12800 15872 19840 24800 39680 49600 79360 99200 198400 396800 786553 1573106 3146212 3932765 6292424 7865530 12584848 15731060 19663825 24383143 25169696 31462120 39327650 48766286 50339392 62924240 78655300 97532572 100678784 121915715 125848480 157310600 195065144 201357568 243831430 251696960 314621200 390130288 402715136 487662860 503393920 609578575 629242400 780260576 975325720 1006787840 1219157150 1258484800 1560521152 1950651440 2013575680 2438314300 2516969600 3121042304 3901302880 4876628600 5033939200 6242084608 7802605760 9753257200 10067878400 12484169216 15605211520 19506514400 31210423040 39013028800 62420846080 78026057600 156052115200 312104230400