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340474400 = 25527163373
BaseRepresentation
bin10100010010110…
…011101000100000
3212201122220001222
4110102303220200
51144130140100
653441314212
711302661510
oct2422635040
9781586058
10340474400
11165209502
1296035968
13556cc556
143330b840
151ed56485
hex144b3a20

340474400 has 144 divisors (see below), whose sum is σ = 958313664. Its totient is φ = 115706880.

The previous prime is 340474399. The next prime is 340474411. The reversal of 340474400 is 4474043.

It is a self number, because there is not a number n which added to its sum of digits gives 340474400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 912614 + ... + 912986.

It is an arithmetic number, because the mean of its divisors is an integer number (6654956).

Almost surely, 2340474400 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 340474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479156832).

340474400 is an abundant number, since it is smaller than the sum of its proper divisors (617839264).

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

340474400 is a wasteful number, since it uses less digits than its factorization.

340474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 340474400 is about 18451.9484066047. The cubic root of 340474400 is about 698.2776704962.

The spelling of 340474400 in words is "three hundred forty million, four hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 163 175 200 224 280 326 350 373 400 560 652 700 746 800 815 1120 1141 1304 1400 1492 1630 1865 2282 2608 2611 2800 2984 3260 3730 4075 4564 5216 5222 5600 5705 5968 6520 7460 8150 9128 9325 10444 11410 11936 13040 13055 14920 16300 18256 18650 20888 22820 26080 26110 28525 29840 32600 36512 37300 41776 45640 52220 57050 59680 60799 65200 65275 74600 83552 91280 104440 114100 121598 130400 130550 149200 182560 208880 228200 243196 261100 298400 303995 417760 425593 456400 486392 522200 607990 851186 912800 972784 1044400 1215980 1519975 1702372 1945568 2088800 2127965 2431960 3039950 3404744 4255930 4863920 6079900 6809488 8511860 9727840 10639825 12159800 13618976 17023720 21279650 24319600 34047440 42559300 48639200 68094880 85118600 170237200 340474400