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334248640 = 26511269353
BaseRepresentation
bin10011111011000…
…011101011000000
3212021221120221021
4103323003223000
51141031424030
653100035224
711166031555
oct2373035300
9767846837
10334248640
11161746a50
1293b32b14
135432c87b
143256aa2c
151e52697a
hex13ec3ac0

334248640 has 112 divisors (see below), whose sum is σ = 873983520. Its totient is φ = 120750080.

The previous prime is 334248623. The next prime is 334248641. The reversal of 334248640 is 46842433.

It is a super-2 number, since 2×3342486402 = 223444306683699200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334248596 and 334248605.

It is not an unprimeable number, because it can be changed into a prime (334248641) 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, 946704 + ... + 947056.

Almost surely, 2334248640 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 334248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436991760).

334248640 is an abundant number, since it is smaller than the sum of its proper divisors (539734880).

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

334248640 is a wasteful number, since it uses less digits than its factorization.

334248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 334248640 is about 18282.4681047172. The cubic root of 334248640 is about 693.9953325434.

The spelling of 334248640 in words is "three hundred thirty-four million, two hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 269 320 352 353 440 538 704 706 880 1076 1345 1412 1760 1765 2152 2690 2824 2959 3520 3530 3883 4304 5380 5648 5918 7060 7766 8608 10760 11296 11836 14120 14795 15532 17216 19415 21520 22592 23672 28240 29590 31064 38830 43040 47344 56480 59180 62128 77660 86080 94688 94957 112960 118360 124256 155320 189376 189914 236720 248512 310640 379828 473440 474785 621280 759656 946880 949570 1044527 1242560 1519312 1899140 2089054 3038624 3798280 4178108 5222635 6077248 7596560 8356216 10445270 15193120 16712432 20890540 30386240 33424864 41781080 66849728 83562160 167124320 334248640