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344325432416 = 2573753783869
BaseRepresentation
bin1010000001010110110…
…01010010010001100000
31012220202122001022001012
411000223121102101200
521120134302314131
6422103025000052
733606463612310
oct5005331222140
91186678038035
10344325432416
11123033803779
1256895a83028
1326615066624
1412945d77440
158e53ca052b
hex502b652460

344325432416 has 96 divisors (see below), whose sum is σ = 810684624960. Its totient is φ = 140870486016.

The previous prime is 344325432361. The next prime is 344325432419. The reversal of 344325432416 is 614234523443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344325432419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47330 + ... + 831198.

It is an arithmetic number, because the mean of its divisors is an integer number (8444631510).

Almost surely, 2344325432416 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 344325432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405342312480).

344325432416 is an abundant number, since it is smaller than the sum of its proper divisors (466359192544).

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

344325432416 is a wasteful number, since it uses less digits than its factorization.

344325432416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783976 (or 783968 counting only the distinct ones).

The product of its digits is 829440, while the sum is 41.

Adding to 344325432416 its reverse (614234523443), we get a palindrome (958559955859).

The spelling of 344325432416 in words is "three hundred forty-four billion, three hundred twenty-five million, four hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 53 56 74 106 112 148 212 224 259 296 371 424 518 592 742 848 1036 1184 1484 1696 1961 2072 2968 3922 4144 5936 7844 8288 11872 13727 15688 27454 31376 54908 62752 109816 219632 439264 783869 1567738 3135476 5487083 6270952 10974166 12541904 21948332 25083808 29003153 41545057 43896664 58006306 83090114 87793328 116012612 166180228 175586656 203022071 232025224 290815399 332360456 406044142 464050448 581630798 664720912 812088284 928100896 1163261596 1329441824 1537167109 1624176568 2326523192 3074334218 3248353136 4653046384 6148668436 6496706272 9306092768 10760169763 12297336872 21520339526 24594673744 43040679052 49189347488 86081358104 172162716208 344325432416