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3307475040 = 253515743889
BaseRepresentation
bin1100010100100100…
…0001000001100000
322112111121010210120
43011021001001200
523233203200130
61304110400240
7144651034242
oct30511010140
98474533716
103307475040
111447a8aa51
12783800080
134092cb82c
142353a4092
1514557c910
hexc5241060

3307475040 has 96 divisors (see below), whose sum is σ = 10485145440. Its totient is φ = 876355584.

The previous prime is 3307474981. The next prime is 3307475063. The reversal of 3307475040 is 405747033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33074750402 = 21878782280446003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3307474992 and 3307475010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53416 + ... + 97304.

It is an arithmetic number, because the mean of its divisors is an integer number (109220265).

Almost surely, 23307475040 is an apocalyptic number.

3307475040 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 3307475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242572720).

3307475040 is an abundant number, since it is smaller than the sum of its proper divisors (7177670400).

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

3307475040 is a wasteful number, since it uses less digits than its factorization.

3307475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44064 (or 44056 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 3307475040 is about 57510.6515351722. The cubic root of 3307475040 is about 1489.9288346414.

The spelling of 3307475040 in words is "three billion, three hundred seven million, four hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 157 160 240 314 471 480 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 5024 6280 7536 9420 12560 15072 18840 25120 37680 43889 75360 87778 131667 175556 219445 263334 351112 438890 526668 658335 702224 877780 1053336 1316670 1404448 1755560 2106672 2633340 3511120 4213344 5266680 6890573 7022240 10533360 13781146 20671719 21066720 27562292 34452865 41343438 55124584 68905730 82686876 103358595 110249168 137811460 165373752 206717190 220498336 275622920 330747504 413434380 551245840 661495008 826868760 1102491680 1653737520 3307475040