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340894320 = 243513372953
BaseRepresentation
bin10100010100011…
…010001001110000
3212202110020002120
4110110122021300
51144232104240
653454314240
711306360664
oct2424321160
9782406076
10340894320
11165475a48
12961b8980
1355818720
14333ba8a4
151eddaad0
hex1451a270

340894320 has 160 divisors (see below), whose sum is σ = 1169216832. Its totient is φ = 81616896.

The previous prime is 340894313. The next prime is 340894331. The reversal of 340894320 is 23498043.

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 31 ways as a sum of consecutive naturals, for example, 113964 + ... + 116916.

Almost surely, 2340894320 is an apocalyptic number.

340894320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340894320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584608416).

340894320 is an abundant number, since it is smaller than the sum of its proper divisors (828322512).

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

340894320 is a wasteful number, since it uses less digits than its factorization.

340894320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 340894320 is about 18463.3236444580. The cubic root of 340894320 is about 698.5646233431.

The spelling of 340894320 in words is "three hundred forty million, eight hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 111 120 130 148 156 185 195 208 222 240 260 296 312 370 390 444 481 520 555 592 624 740 780 888 962 1040 1110 1443 1480 1560 1776 1924 2220 2405 2886 2953 2960 3120 3848 4440 4810 5772 5906 7215 7696 8859 8880 9620 11544 11812 14430 14765 17718 19240 23088 23624 28860 29530 35436 38389 38480 44295 47248 57720 59060 70872 76778 88590 109261 115167 115440 118120 141744 153556 177180 191945 218522 230334 236240 307112 327783 354360 383890 437044 460668 546305 575835 614224 655566 708720 767780 874088 921336 1092610 1151670 1311132 1420393 1535560 1638915 1748176 1842672 2185220 2303340 2622264 2840786 3071120 3277830 4261179 4370440 4606680 5244528 5681572 6555660 7101965 8522358 8740880 9213360 11363144 13111320 14203930 17044716 21305895 22726288 26222640 28407860 34089432 42611790 56815720 68178864 85223580 113631440 170447160 340894320