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3377382228 = 22321110184443
BaseRepresentation
bin1100100101001110…
…1100001101010100
322201101010210102200
43021103230031110
523404102212403
61315045004500
7146460163263
oct31123541524
98641123380
103377382228
111483498290
127a30b3730
1341a93702c
142407a05da
1514b78aca3
hexc94ec354

3377382228 has 72 divisors (see below), whose sum is σ = 9405710496. Its totient is φ = 1013304000.

The previous prime is 3377382227. The next prime is 3377382233. The reversal of 3377382228 is 8222837733.

It is a super-2 number, since 2×33773822282 = 22813421428020487968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3377382227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2226 + ... + 82217.

It is an arithmetic number, because the mean of its divisors is an integer number (130634868).

Almost surely, 23377382228 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 3377382228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702855248).

3377382228 is an abundant number, since it is smaller than the sum of its proper divisors (6028328268).

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

3377382228 is a wasteful number, since it uses less digits than its factorization.

3377382228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84565 (or 84560 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3377382228 is about 58115.2495305664. The cubic root of 3377382228 is about 1500.3528396629.

The spelling of 3377382228 in words is "three billion, three hundred seventy-seven million, three hundred eighty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 6666 9999 13332 19998 39996 84443 168886 253329 337772 506658 759987 928873 1013316 1519974 1857746 2786619 3039948 3715492 5573238 8359857 8528743 11146476 16719714 17057486 25586229 33439428 34114972 51172458 76758687 93816173 102344916 153517374 187632346 281448519 307034748 375264692 562897038 844345557 1125794076 1688691114 3377382228