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320423007400 = 235217281335381
BaseRepresentation
bin1001010100110101011…
…00110001010010101000
31010122001211102022001121
410222122230301102220
520222211242214100
6403111133025024
732102244424066
oct4523254612250
91118054368047
10320423007400
11113988486011
1252125025174
13242a6042082
141171969b036
15850563551a
hex4a9ab314a8

320423007400 has 96 divisors (see below), whose sum is σ = 791615549880. Its totient is φ = 120200192000.

The previous prime is 320423007379. The next prime is 320423007419. The reversal of 320423007400 is 4700324023.

It can be written as a sum of positive squares in 12 ways, for example, as 2996686564 + 317426320836 = 54742^2 + 563406^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 787710 + ... + 1123090.

Almost surely, 2320423007400 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 320423007400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395807774940).

320423007400 is an abundant number, since it is smaller than the sum of its proper divisors (471192542480).

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

320423007400 is a wasteful number, since it uses less digits than its factorization.

320423007400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335695 (or 335686 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The spelling of 320423007400 in words is "three hundred twenty billion, four hundred twenty-three million, seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 281 340 425 562 680 850 1124 1405 1700 2248 2810 3400 4777 5620 7025 9554 11240 14050 19108 23885 28100 38216 47770 56200 95540 119425 191080 238850 335381 477700 670762 955400 1341524 1676905 2683048 3353810 5701477 6707620 8384525 11402954 13415240 16769050 22805908 28507385 33538100 45611816 57014770 67076200 94242061 114029540 142536925 188484122 228059080 285073850 376968244 471210305 570147700 753936488 942420610 1140295400 1602115037 1884841220 2356051525 3204230074 3769682440 4712103050 6408460148 8010575185 9424206100 12816920296 16021150370 18848412200 32042300740 40052875925 64084601480 80105751850 160211503700 320423007400