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340404048 = 243223791301
BaseRepresentation
bin10100010010100…
…010011101010000
3212201112022120100
4110102202131100
51144120412143
653440012400
711302246425
oct2422423520
9781468510
10340404048
11165170666
1296001100
13556a651a
14332cdd4c
151ed406d3
hex144a2750

340404048 has 120 divisors (see below), whose sum is σ = 1007435520. Its totient is φ = 107078400.

The previous prime is 340404047. The next prime is 340404049. The reversal of 340404048 is 840404043.

It is an interprime number because it is at equal distance from previous prime (340404047) and next prime (340404049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340404047) by changing a digit.

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, 260998 + ... + 262298.

It is an arithmetic number, because the mean of its divisors is an integer number (8395296).

Almost surely, 2340404048 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 340404048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503717760).

340404048 is an abundant number, since it is smaller than the sum of its proper divisors (667031472).

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

340404048 is a wasteful number, since it uses less digits than its factorization.

340404048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 340404048 is about 18450.0419511718. The cubic root of 340404048 is about 698.2295722989.

The spelling of 340404048 in words is "three hundred forty million, four hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 79 92 138 144 158 184 207 237 276 316 368 414 474 552 632 711 828 948 1104 1264 1301 1422 1656 1817 1896 2602 2844 3312 3634 3792 3903 5204 5451 5688 7268 7806 10408 10902 11376 11709 14536 15612 16353 20816 21804 23418 29072 29923 31224 32706 43608 46836 59846 62448 65412 87216 89769 93672 102779 119692 130824 179538 187344 205558 239384 261648 269307 308337 359076 411116 478768 538614 616674 718152 822232 925011 1077228 1233348 1436304 1644464 1850022 2154456 2363917 2466696 3700044 4308912 4727834 4933392 7091751 7400088 9455668 14183502 14800176 18911336 21275253 28367004 37822672 42550506 56734008 85101012 113468016 170202024 340404048