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3401422470 = 234529891627
BaseRepresentation
bin1100101010111101…
…1001011010000110
322210001101011110000
43022233121122012
523431231004340
61321304142130
7150201420405
oct31257313206
98701334400
103401422470
111496018056
127ab167946
13422903424
14243a5b63c
1514d938d30
hexcabd9686

3401422470 has 160 divisors (see below), whose sum is σ = 9573616800. Its totient is φ = 865396224.

The previous prime is 3401422439. The next prime is 3401422471. The reversal of 3401422470 is 742241043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401422471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2089797 + ... + 2091423.

It is an arithmetic number, because the mean of its divisors is an integer number (59835105).

Almost surely, 23401422470 is an apocalyptic number.

3401422470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401422470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786808400).

3401422470 is an abundant number, since it is smaller than the sum of its proper divisors (6172194330).

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

3401422470 is a wasteful number, since it uses less digits than its factorization.

3401422470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3401422470 is about 58321.7152525541. The cubic root of 3401422470 is about 1503.9042689723.

The spelling of 3401422470 in words is "three billion, four hundred one million, four hundred twenty-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 89 90 135 145 162 174 178 261 267 270 290 405 435 445 522 534 783 801 810 870 890 1305 1335 1566 1602 1627 2349 2403 2581 2610 2670 3254 3915 4005 4698 4806 4881 5162 7209 7743 7830 8010 8135 9762 11745 12015 12905 14418 14643 15486 16270 23229 23490 24030 24405 25810 29286 36045 38715 43929 46458 47183 48810 69687 72090 73215 77430 87858 94366 116145 131787 139374 141549 144803 146430 209061 219645 232290 235915 263574 283098 289606 348435 418122 424647 434409 439290 471830 658935 696870 707745 724015 849294 868818 1045305 1273941 1303227 1317870 1415490 1448030 2090610 2123235 2172045 2547882 2606454 3821823 3909681 4199287 4246470 4344090 6369705 6516135 7643646 7819362 8398574 11729043 12597861 12739410 13032270 19109115 19548405 20996435 23458086 25195722 37793583 38218230 39096810 41992870 58645215 62989305 75587166 113380749 117290430 125978610 188967915 226761498 340142247 377935830 566903745 680284494 1133807490 1700711235 3401422470