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340008448 = 2913232221
BaseRepresentation
bin10100010001000…
…001111000000000
3212200210012220111
4110101001320000
51144020232243
653423321104
711266011163
oct2421017000
9780705814
10340008448
11164a2041a
1295a50194
1355598440
1433229ada
151ecb339d
hex14441e00

340008448 has 80 divisors (see below), whose sum is σ = 763763616. Its totient is φ = 150036480.

The previous prime is 340008433. The next prime is 340008467. The reversal of 340008448 is 844800043.

It is a super-2 number, since 2×3400084482 = 231211489422737408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151978 + ... + 154198.

Almost surely, 2340008448 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 340008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381881808).

340008448 is an abundant number, since it is smaller than the sum of its proper divisors (423755168).

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

340008448 is a wasteful number, since it uses less digits than its factorization.

340008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 340008448 is about 18439.3179917263. The cubic root of 340008448 is about 697.9589853378.

The spelling of 340008448 in words is "three hundred forty million, eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1196 1472 1664 2221 2392 2944 3328 4442 4784 5888 6656 8884 9568 11776 17768 19136 28873 35536 38272 51083 57746 71072 76544 102166 115492 142144 153088 204332 230984 284288 408664 461968 568576 664079 817328 923936 1137152 1328158 1634656 1847872 2656316 3269312 3695744 5312632 6538624 7391488 10625264 13077248 14782976 21250528 26154496 42501056 85002112 170004224 340008448