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345423744 = 2733127787
BaseRepresentation
bin10100100101101…
…011111110000000
3220001222100022000
4110211223332000
51201412024434
654135344000
711363024211
oct2445537600
9801870260
10345423744
11167a89a76
1297822000
1356743263
1433c39408
15204d2b99
hex1496bf80

345423744 has 128 divisors (see below), whose sum is σ = 1028812800. Its totient is φ = 114089472.

The previous prime is 345423739. The next prime is 345423751. The reversal of 345423744 is 447324543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345423699 and 345423708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438519 + ... + 439305.

It is an arithmetic number, because the mean of its divisors is an integer number (8037600).

Almost surely, 2345423744 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 345423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514406400).

345423744 is an abundant number, since it is smaller than the sum of its proper divisors (683389056).

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

345423744 is a wasteful number, since it uses less digits than its factorization.

345423744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 919 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 345423744 is about 18585.5789256079. The cubic root of 345423744 is about 701.6449369606.

The spelling of 345423744 in words is "three hundred forty-five million, four hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 288 381 384 432 508 576 762 787 864 1016 1143 1152 1524 1574 1728 2032 2286 2361 3048 3148 3429 3456 4064 4572 4722 6096 6296 6858 7083 8128 9144 9444 12192 12592 13716 14166 16256 18288 18888 21249 24384 25184 27432 28332 36576 37776 42498 48768 50368 54864 56664 73152 75552 84996 99949 100736 109728 113328 146304 151104 169992 199898 219456 226656 299847 302208 339984 399796 438912 453312 599694 679968 799592 899541 906624 1199388 1359936 1599184 1799082 2398776 2698623 2719872 3198368 3598164 4797552 5397246 6396736 7196328 9595104 10794492 12793472 14392656 19190208 21588984 28785312 38380416 43177968 57570624 86355936 115141248 172711872 345423744