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340990720 = 2857192003
BaseRepresentation
bin10100010100110…
…001101100000000
3212202122010022221
4110110301230000
51144243200340
653500340424
711310242020
oct2424615400
9782563287
10340990720
11165531414
1296244714
1355850575
1433403a80
151ee0944a
hex14531b00

340990720 has 144 divisors (see below), whose sum is σ = 983082240. Its totient is φ = 110702592.

The previous prime is 340990717. The next prime is 340990757. The reversal of 340990720 is 27099043.

It is a super-2 number, since 2×3409907202 = 232549342252236800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169239 + ... + 171241.

It is an arithmetic number, because the mean of its divisors is an integer number (6826960).

Almost surely, 2340990720 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 340990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491541120).

340990720 is an abundant number, since it is smaller than the sum of its proper divisors (642091520).

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

340990720 is a wasteful number, since it uses less digits than its factorization.

340990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 340990720 is about 18465.9340408223. The cubic root of 340990720 is about 698.6304651392.

The spelling of 340990720 in words is "three hundred forty million, nine hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1280 1330 1520 1792 2003 2128 2240 2432 2660 3040 4006 4256 4480 4864 5320 6080 8012 8512 8960 10015 10640 12160 14021 16024 17024 20030 21280 24320 28042 32048 34048 38057 40060 42560 56084 64096 70105 76114 80120 85120 112168 128192 140210 152228 160240 170240 190285 224336 256384 266399 280420 304456 320480 380570 448672 512768 532798 560840 608912 640960 761140 897344 1065596 1121680 1217824 1281920 1331995 1522280 1794688 2131192 2243360 2435648 2563840 2663990 3044560 3589376 4262384 4486720 4871296 5327980 6089120 8524768 8973440 9742592 10655960 12178240 17049536 17946880 21311920 24356480 34099072 42623840 48712960 68198144 85247680 170495360 340990720