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340074720 = 2533578721
BaseRepresentation
bin10100010001010…
…010000011100000
3212200220120211000
4110101102003200
51144024342340
653424552000
711266405326
oct2421220340
9780816730
10340074720
11164a66197
1295a82600
13555bc65b
1433245d16
151ecc7d30
hex144520e0

340074720 has 96 divisors (see below), whose sum is σ = 1190276640. Its totient is φ = 90685440.

The previous prime is 340074703. The next prime is 340074727. The reversal of 340074720 is 27470043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340074727) 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, 35041 + ... + 43680.

It is an arithmetic number, because the mean of its divisors is an integer number (12398715).

Almost surely, 2340074720 is an apocalyptic number.

340074720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340074720 is an abundant number, since it is smaller than the sum of its proper divisors (850201920).

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

340074720 is a wasteful number, since it uses less digits than its factorization.

340074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78745 (or 78731 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 340074720 is about 18441.1149337560. The cubic root of 340074720 is about 698.0043294395.

The spelling of 340074720 in words is "three hundred forty million, seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 78721 157442 236163 314884 393605 472326 629768 708489 787210 944652 1180815 1259536 1416978 1574420 1889304 2125467 2361630 2519072 2833956 3148840 3542445 3778608 4250934 4723260 5667912 6297680 7084890 7557216 8501868 9446520 10627335 11335824 12595360 14169780 17003736 18893040 21254670 22671648 28339560 34007472 37786080 42509340 56679120 68014944 85018680 113358240 170037360 340074720