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341207680 = 27511172851
BaseRepresentation
bin10100010101100…
…110101010000000
3212210001010221111
4110111212222000
51144322121210
653505133104
711312134402
oct2425465200
9783033844
10341207680
1116566a420
129632a194
13558c8248
143345cb72
151ee4d88a
hex14566a80

341207680 has 128 divisors (see below), whose sum is σ = 942528960. Its totient is φ = 116736000.

The previous prime is 341207653. The next prime is 341207687. The reversal of 341207680 is 86702143.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (341207687) 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 15 ways as a sum of consecutive naturals, for example, 118255 + ... + 121105.

Almost surely, 2341207680 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 341207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471264480).

341207680 is an abundant number, since it is smaller than the sum of its proper divisors (601321280).

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

341207680 is a wasteful number, since it uses less digits than its factorization.

341207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 341207680 is about 18471.8077079640. The cubic root of 341207680 is about 698.7786047816.

The spelling of 341207680 in words is "three hundred forty-one million, two hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 176 187 220 272 320 340 352 374 440 544 640 680 704 748 880 935 1088 1360 1408 1496 1760 1870 2176 2720 2851 2992 3520 3740 5440 5702 5984 7040 7480 10880 11404 11968 14255 14960 22808 23936 28510 29920 31361 45616 48467 57020 59840 62722 91232 96934 114040 119680 125444 156805 182464 193868 228080 242335 250888 313610 364928 387736 456160 484670 501776 533137 627220 775472 912320 969340 1003552 1066274 1254440 1550944 1824640 1938680 2007104 2132548 2508880 2665685 3101888 3877360 4014208 4265096 5017760 5331370 6203776 7754720 8530192 10035520 10662740 15509440 17060384 20071040 21325480 31018880 34120768 42650960 68241536 85301920 170603840 341207680