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4345680 = 243519953
BaseRepresentation
bin10000100100111101010000
322011210011010
4100210331100
52103030210
6233050520
751636423
oct20447520
98153133
104345680
1124a8a79
121556a40
13b92011
148119ba
155ac920
hex424f50

4345680 has 80 divisors (see below), whose sum is σ = 14195520. Its totient is φ = 1096704.

The previous prime is 4345669. The next prime is 4345703. The reversal of 4345680 is 865434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4084 + ... + 5036.

It is an arithmetic number, because the mean of its divisors is an integer number (177444).

Almost surely, 24345680 is an apocalyptic number.

4345680 is a gapful number since it is divisible by the number (40) 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 4345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097760).

4345680 is an abundant number, since it is smaller than the sum of its proper divisors (9849840).

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

4345680 is a wasteful number, since it uses less digits than its factorization.

4345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4345680 is about 2084.6294634779. The cubic root of 4345680 is about 163.1871337415.

The spelling of 4345680 in words is "four million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 953 1140 1520 1906 2280 2859 3812 4560 4765 5718 7624 9530 11436 14295 15248 18107 19060 22872 28590 36214 38120 45744 54321 57180 72428 76240 90535 108642 114360 144856 181070 217284 228720 271605 289712 362140 434568 543210 724280 869136 1086420 1448560 2172840 4345680