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3311020032 = 21131393877
BaseRepresentation
bin1100010101011010…
…0010100000000000
322112202021020121120
43011112202200000
523240110120112
61304314352240
7145023130425
oct30526424000
98482236546
103311020032
111449a913a1
12784a2b680
13409c70268
14235a47d4c
15145a2ce8c
hexc55a2800

3311020032 has 96 divisors (see below), whose sum is σ = 8893029600. Its totient is φ = 1095450624.

The previous prime is 3311020021. The next prime is 3311020043. The reversal of 3311020032 is 2300201133.

It is an interprime number because it is at equal distance from previous prime (3311020021) and next prime (3311020043).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3311019993 and 3311020020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 852078 + ... + 855954.

It is an arithmetic number, because the mean of its divisors is an integer number (92635725).

Almost surely, 23311020032 is an apocalyptic number.

3311020032 is a gapful number since it is divisible by the number (32) 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 3311020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446514800).

3311020032 is an abundant number, since it is smaller than the sum of its proper divisors (5582009568).

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

3311020032 is a wasteful number, since it uses less digits than its factorization.

3311020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3311020032 is about 57541.4635893110. The cubic root of 3311020032 is about 1490.4609525290.

Adding to 3311020032 its reverse (2300201133), we get a palindrome (5611221165).

The spelling of 3311020032 in words is "three billion, three hundred eleven million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 768 834 1024 1112 1536 1668 2048 2224 3072 3336 3877 4448 6144 6672 7754 8896 11631 13344 15508 17792 23262 26688 31016 35584 46524 53376 62032 71168 93048 106752 124064 142336 186096 213504 248128 284672 372192 427008 496256 538903 744384 854016 992512 1077806 1488768 1616709 1985024 2155612 2977536 3233418 3970048 4311224 5955072 6466836 7940096 8622448 11910144 12933672 17244896 23820288 25867344 34489792 51734688 68979584 103469376 137959168 206938752 275918336 413877504 551836672 827755008 1103673344 1655510016 3311020032