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3345000552 = 23321571991487
BaseRepresentation
bin1100011101100000…
…1010100001101000
322122010012122010100
43013120022201220
523322310004202
61311530545400
7145615015125
oct30730124150
98563178110
103345000552
111467190473
12794298260
13414009c8a
1423a37174c
151489e141c
hexc760a868

3345000552 has 96 divisors (see below), whose sum is σ = 9169056000. Its totient is φ = 1101589632.

The previous prime is 3345000523. The next prime is 3345000587. The reversal of 3345000552 is 2550005433.

It is a super-2 number, since 2×33450005522 = 22378057385760609408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2248753 + ... + 2250239.

It is an arithmetic number, because the mean of its divisors is an integer number (95511000).

Almost surely, 23345000552 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 3345000552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584528000).

3345000552 is an abundant number, since it is smaller than the sum of its proper divisors (5824055448).

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

3345000552 is a wasteful number, since it uses less digits than its factorization.

3345000552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3345000552 is about 57835.9797358011. The cubic root of 3345000552 is about 1495.5424036786.

Adding to 3345000552 its reverse (2550005433), we get a palindrome (5895005985).

The spelling of 3345000552 in words is "three billion, three hundred forty-five million, five hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 199 314 398 471 597 628 796 942 1194 1256 1413 1487 1592 1791 1884 2388 2826 2974 3582 3768 4461 4776 5652 5948 7164 8922 11304 11896 13383 14328 17844 26766 31243 35688 53532 62486 93729 107064 124972 187458 233459 249944 281187 295913 374916 466918 562374 591826 700377 749832 887739 933836 1124748 1183652 1400754 1775478 1867672 2101131 2249496 2367304 2663217 2801508 3550956 4202262 5326434 5603016 7101912 8404524 10652868 16809048 21305736 46458341 92916682 139375023 185833364 278750046 371666728 418125069 557500092 836250138 1115000184 1672500276 3345000552