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340450344 = 233313263461
BaseRepresentation
bin10100010010101…
…101110000101000
3212201121200002000
4110102231300220
51144123402334
653441011000
711302531413
oct2422556050
9781550060
10340450344
111651a2423
1296023a60
13556c1610
1433302b7a
151ed4e299
hex144adc28

340450344 has 128 divisors (see below), whose sum is σ = 1024531200. Its totient is φ = 104129280.

The previous prime is 340450291. The next prime is 340450349. The reversal of 340450344 is 443054043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (340450349) 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, 738274 + ... + 738734.

It is an arithmetic number, because the mean of its divisors is an integer number (8004150).

Almost surely, 2340450344 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 340450344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512265600).

340450344 is an abundant number, since it is smaller than the sum of its proper divisors (684080856).

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

340450344 is a wasteful number, since it uses less digits than its factorization.

340450344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 340450344 is about 18451.2965398099. The cubic root of 340450344 is about 698.2612246555.

The spelling of 340450344 in words is "three hundred forty million, four hundred fifty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 263 312 351 461 468 526 702 789 922 936 1052 1383 1404 1578 1844 2104 2367 2766 2808 3156 3419 3688 4149 4734 5532 5993 6312 6838 7101 8298 9468 10257 11064 11986 12447 13676 14202 16596 17979 18936 20514 23972 24894 27352 28404 30771 33192 35958 41028 47944 49788 53937 56808 61542 71916 82056 92313 99576 107874 121243 123084 143832 161811 184626 215748 242486 246168 323622 363729 369252 431496 484972 647244 727458 738504 969944 1091187 1294488 1454916 1576159 2182374 2909832 3152318 3273561 4364748 4728477 6304636 6547122 8729496 9456954 12609272 13094244 14185431 18913908 26188488 28370862 37827816 42556293 56741724 85112586 113483448 170225172 340450344