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3404012080 = 245759269383
BaseRepresentation
bin1100101011100101…
…0001101000110000
322210020020201201111
43022321101220300
523432411341310
61321435443104
7150232424320
oct31271215060
98706221644
103404012080
111497526727
127abbb6494
134232cc041
14244133280
1514dc9b28a
hexcae51a30

3404012080 has 160 divisors (see below), whose sum is σ = 9256550400. Its totient is φ = 1140059136.

The previous prime is 3404012069. The next prime is 3404012081. The reversal of 3404012080 is 802104043.

It is not an unprimeable number, because it can be changed into a prime (3404012081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8887569 + ... + 8887951.

It is an arithmetic number, because the mean of its divisors is an integer number (57853440).

Almost surely, 23404012080 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 3404012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628275200).

3404012080 is an abundant number, since it is smaller than the sum of its proper divisors (5852538320).

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

3404012080 is a wasteful number, since it uses less digits than its factorization.

3404012080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3404012080 is about 58343.9121074341. The cubic root of 3404012080 is about 1504.2858287114.

The spelling of 3404012080 in words is "three billion, four hundred four million, twelve thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 269 280 295 383 413 472 538 560 590 766 826 944 1076 1180 1345 1532 1652 1883 1915 2065 2152 2360 2681 2690 3064 3304 3766 3830 4130 4304 4720 5362 5380 6128 6608 7532 7660 8260 9415 10724 10760 13405 15064 15320 15871 16520 18830 21448 21520 22597 26810 30128 30640 31742 33040 37660 42896 45194 53620 63484 75320 79355 90388 103027 107240 111097 112985 126968 150640 158179 158710 180776 206054 214480 222194 225970 253936 316358 317420 361552 412108 444388 451940 515135 555485 632716 634840 721189 790895 824216 888776 903880 1030270 1110970 1265432 1269680 1442378 1581790 1648432 1777552 1807760 2060540 2221940 2530864 2884756 3163580 3605945 4121080 4443880 5769512 6078593 6327160 7211890 8242160 8887760 11539024 12157186 12654320 14423780 24314372 28847560 30392965 42550151 48628744 57695120 60785930 85100302 97257488 121571860 170200604 212750755 243143720 340401208 425501510 486287440 680802416 851003020 1702006040 3404012080