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3366501240 = 2335374211801
BaseRepresentation
bin1100100010101000…
…1011101101111000
322200121122222112010
43020222023231320
523343311014430
61314015445520
7146265534264
oct31052135570
98617588463
103366501240
111478336233
1279b5268a0
134185c748b
1423d16b0a4
1514a83bcb0
hexc8a8bb78

3366501240 has 128 divisors (see below), whose sum is σ = 10402873920. Its totient is φ = 870912000.

The previous prime is 3366501239. The next prime is 3366501247. The reversal of 3366501240 is 421056633.

3366501240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33665012402 = 22666661197843075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3366501198 and 3366501207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366501247) 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, 1868340 + ... + 1870140.

Almost surely, 23366501240 is an apocalyptic number.

3366501240 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 3366501240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201436960).

3366501240 is an abundant number, since it is smaller than the sum of its proper divisors (7036372680).

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

3366501240 is a wasteful number, since it uses less digits than its factorization.

3366501240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3366501240 is about 58021.5584071990. The cubic root of 3366501240 is about 1498.7398661160.

Adding to 3366501240 its reverse (421056633), we get a palindrome (3787557873).

The spelling of 3366501240 in words is "three billion, three hundred sixty-six million, five hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 421 444 555 740 842 888 1110 1263 1480 1684 1801 2105 2220 2526 3368 3602 4210 4440 5052 5403 6315 7204 8420 9005 10104 10806 12630 14408 15577 16840 18010 21612 25260 27015 31154 36020 43224 46731 50520 54030 62308 66637 72040 77885 93462 108060 124616 133274 155770 186924 199911 216120 233655 266548 311540 333185 373848 399822 467310 533096 623080 666370 758221 799644 934620 999555 1332740 1516442 1599288 1869240 1999110 2274663 2665480 3032884 3791105 3998220 4549326 6065768 7582210 7996440 9098652 11373315 15164420 18197304 22746630 28054177 30328840 45493260 56108354 84162531 90986520 112216708 140270885 168325062 224433416 280541770 336650124 420812655 561083540 673300248 841625310 1122167080 1683250620 3366501240