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3421773120 = 263511173191
BaseRepresentation
bin1100101111110100…
…0001110101000000
322211110200002021210
43023331001311000
524001433214440
61323312250120
7150536406633
oct31375016500
98743602253
103421773120
1114a6557877
127b5b40940
13426baa32c
14246637c1a
15150608a80
hexcbf41d40

3421773120 has 112 divisors (see below), whose sum is σ = 10877263488. Its totient is φ = 911370240.

The previous prime is 3421773079. The next prime is 3421773127. The reversal of 3421773120 is 213771243.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421773127) 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, 1070725 + ... + 1073915.

It is an arithmetic number, because the mean of its divisors is an integer number (97118424).

Almost surely, 23421773120 is an apocalyptic number.

3421773120 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 3421773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438631744).

3421773120 is an abundant number, since it is smaller than the sum of its proper divisors (7455490368).

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

3421773120 is a wasteful number, since it uses less digits than its factorization.

3421773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 3421773120 is about 58495.9239605633. The cubic root of 3421773120 is about 1506.8975847110.

The spelling of 3421773120 in words is "three billion, four hundred twenty-one million, seven hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1117 2234 3191 3351 4468 5585 6382 6702 8936 9573 11170 12764 13404 15955 16755 17872 19146 22340 25528 26808 31910 33510 35744 38292 44680 47865 51056 53616 63820 67020 71488 76584 89360 95730 102112 107232 127640 134040 153168 178720 191460 204224 214464 255280 268080 306336 357440 382920 510560 536160 612672 765840 1021120 1072320 1531680 3063360 3564347 7128694 10693041 14257388 17821735 21386082 28514776 35643470 42772164 53465205 57029552 71286940 85544328 106930410 114059104 142573880 171088656 213860820 228118208 285147760 342177312 427721640 570295520 684354624 855443280 1140591040 1710886560 3421773120