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340253440 = 2852411103
BaseRepresentation
bin10100010001111…
…101101100000000
3212201020122222021
4110101331230000
51144101102230
653432451224
711301051352
oct2421755400
9781218867
10340253440
1116507849a
1295b49b14
1355652ac7
14332910d2
151ed10c7a
hex1447db00

340253440 has 72 divisors (see below), whose sum is σ = 819137088. Its totient is φ = 135413760.

The previous prime is 340253429. The next prime is 340253449. The reversal of 340253440 is 44352043.

It is not an unprimeable number, because it can be changed into a prime (340253449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307929 + ... + 309031.

It is an arithmetic number, because the mean of its divisors is an integer number (11376904).

Almost surely, 2340253440 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 340253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409568544).

340253440 is an abundant number, since it is smaller than the sum of its proper divisors (478883648).

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

340253440 is a wasteful number, since it uses less digits than its factorization.

340253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 340253440 is about 18445.9599912826. The cubic root of 340253440 is about 698.1265824621.

The spelling of 340253440 in words is "three hundred forty million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 241 256 320 482 640 964 1103 1205 1280 1928 2206 2410 3856 4412 4820 5515 7712 8824 9640 11030 15424 17648 19280 22060 30848 35296 38560 44120 61696 70592 77120 88240 141184 154240 176480 265823 282368 308480 352960 531646 705920 1063292 1329115 1411840 2126584 2658230 4253168 5316460 8506336 10632920 17012672 21265840 34025344 42531680 68050688 85063360 170126720 340253440