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3403364040 = 233451050421
BaseRepresentation
bin1100101011011011…
…0011011011001000
322210012000210210000
43022312303123020
523432230122130
61321413523000
7150224055066
oct31266633310
98705023700
103403364040
11149712385a
127ab943460
1342313309b
14244005036
1514dbbe260
hexcadb36c8

3403364040 has 80 divisors (see below), whose sum is σ = 11439095580. Its totient is φ = 907562880.

The previous prime is 3403364009. The next prime is 3403364051. The reversal of 3403364040 is 404633043.

It can be written as a sum of positive squares in 2 ways, for example, as 3270238596 + 133125444 = 57186^2 + 11538^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3403363995 and 3403364013.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 521971 + ... + 528450.

Almost surely, 23403364040 is an apocalyptic number.

3403364040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3403364040 is an abundant number, since it is smaller than the sum of its proper divisors (8035731540).

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

3403364040 is a wasteful number, since it uses less digits than its factorization.

3403364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050444 (or 1050431 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3403364040 is about 58338.3582216709. The cubic root of 3403364040 is about 1504.1903630046.

Adding to 3403364040 its reverse (404633043), we get a palindrome (3807997083).

The spelling of 3403364040 in words is "three billion, four hundred three million, three hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 1050421 2100842 3151263 4201684 5252105 6302526 8403368 9453789 10504210 12605052 15756315 18907578 21008420 25210104 28361367 31512630 37815156 42016840 47268945 56722734 63025260 75630312 85084101 94537890 113445468 126050520 141806835 170168202 189075780 226890936 283613670 340336404 378151560 425420505 567227340 680672808 850841010 1134454680 1701682020 3403364040