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3368476120 = 235316144533
BaseRepresentation
bin1100100011000110…
…1101110111011000
322200202101022112211
43020301231313120
523344312213440
61314130044504
7146321401042
oct31061556730
98622338484
103368476120
111479464a69
127a0119734
13418b39349
1423d522a92
1514aacbeea
hexc8c6ddd8

3368476120 has 64 divisors (see below), whose sum is σ = 7951991040. Its totient is φ = 1282521600.

The previous prime is 3368476087. The next prime is 3368476193. The reversal of 3368476120 is 216748633.

It is a super-2 number, since 2×33684761202 = 22693262742020508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 53374 + ... + 97906.

It is an arithmetic number, because the mean of its divisors is an integer number (124249860).

Almost surely, 23368476120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3368476120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975995520).

3368476120 is an abundant number, since it is smaller than the sum of its proper divisors (4583514920).

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

3368476120 is a wasteful number, since it uses less digits than its factorization.

3368476120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44636 (or 44632 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 3368476120 is about 58038.5744139189. The cubic root of 3368476120 is about 1499.0328758405.

The spelling of 3368476120 in words is "three billion, three hundred sixty-eight million, four hundred seventy-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 61 62 122 124 155 244 248 305 310 488 610 620 1220 1240 1891 2440 3782 7564 9455 15128 18910 37820 44533 75640 89066 178132 222665 356264 445330 890660 1380523 1781320 2716513 2761046 5433026 5522092 6902615 10866052 11044184 13582565 13805230 21732104 27165130 27610460 54330260 55220920 84211903 108660520 168423806 336847612 421059515 673695224 842119030 1684238060 3368476120