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3402320040 = 2332571350127
BaseRepresentation
bin1100101011001011…
…0100100010101000
322210010001202200100
43022302310202220
523431443220130
61321335305400
7150212146260
oct31262644250
98703052610
103402320040
111496580449
127ab51b260
13422b58b32
14243c127a0
1514da64c60
hexcacb48a8

3402320040 has 96 divisors (see below), whose sum is σ = 12637198080. Its totient is φ = 777672576.

The previous prime is 3402320017. The next prime is 3402320069. The reversal of 3402320040 is 400232043.

3402320040 is a `hidden beast` number, since 340 + 2 + 320 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3402319995 and 3402320022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672544 + ... + 677583.

It is an arithmetic number, because the mean of its divisors is an integer number (131637480).

Almost surely, 23402320040 is an apocalyptic number.

3402320040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402320040 is an abundant number, since it is smaller than the sum of its proper divisors (9234878040).

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

3402320040 is a wasteful number, since it uses less digits than its factorization.

3402320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350151 (or 1350144 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3402320040 is about 58329.4097347127. The cubic root of 3402320040 is about 1504.0365411467.

Adding to 3402320040 its reverse (400232043), we get a palindrome (3802552083).

The spelling of 3402320040 in words is "three billion, four hundred two million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 1350127 2700254 4050381 5400508 6750635 8100762 9450889 10801016 12151143 13501270 16201524 18901778 20251905 24302286 27002540 28352667 32403048 37803556 40503810 47254445 48604572 54005080 56705334 60755715 75607112 81007620 85058001 94508890 97209144 113410668 121511430 141763335 162015240 170116002 189017780 226821336 243022860 283526670 340232004 378035560 425290005 486045720 567053340 680464008 850580010 1134106680 1701160020 3402320040