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3661424316 = 2233114916277
BaseRepresentation
bin1101101000111100…
…1110011010111100
3100110011121121221000
43122033032122330
524444311034231
61403153010300
7156506410314
oct33217163274
910404547830
103661424316
111609862310
12862253990
13464738484
1426a3bc444
151666966e6
hexda3ce6bc

3661424316 has 96 divisors (see below), whose sum is σ = 10378287360. Its totient is φ = 1107086400.

The previous prime is 3661424287. The next prime is 3661424339. The reversal of 3661424316 is 6134241663.

3661424316 is a `hidden beast` number, since 3 + 6 + 614 + 2 + 4 + 31 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580170 + ... + 586446.

It is an arithmetic number, because the mean of its divisors is an integer number (108107160).

Almost surely, 23661424316 is an apocalyptic number.

3661424316 is a gapful number since it is divisible by the number (36) 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 3661424316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189143680).

3661424316 is an abundant number, since it is smaller than the sum of its proper divisors (6716863044).

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

3661424316 is a wasteful number, since it uses less digits than its factorization.

3661424316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6784 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3661424316 is about 60509.7043126142. The cubic root of 3661424316 is about 1541.2864266407.

Adding to 3661424316 its reverse (6134241663), we get a palindrome (9795665979).

The spelling of 3661424316 in words is "three billion, six hundred sixty-one million, four hundred twenty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 491 594 982 1188 1473 1964 2946 4419 5401 5892 6277 8838 10802 12554 13257 16203 17676 18831 21604 25108 26514 32406 37662 48609 53028 56493 64812 69047 75324 97218 112986 138094 145827 169479 194436 207141 225972 276188 291654 338958 414282 583308 621423 677916 828564 1242846 1864269 2485692 3082007 3728538 6164014 7457076 9246021 12328028 18492042 27738063 33902077 36984084 55476126 67804154 83214189 101706231 110952252 135608308 166428378 203412462 305118693 332856756 406824924 610237386 915356079 1220474772 1830712158 3661424316