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3333972 = 2231759277
BaseRepresentation
bin1100101101111101010100
320021101100110
430231331110
51323141342
6155243020
740224015
oct14557524
96241313
103333972
111977954
121149470
138c9685
1462b00c
1545cc9c
hex32df54

3333972 has 48 divisors (see below), whose sum is σ = 8406720. Its totient is φ = 1024512.

The previous prime is 3333971. The next prime is 3333977. The reversal of 3333972 is 2793333.

It is a super-2 number, since 2×33339722 = 22230738593568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3333971) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11898 + ... + 12174.

It is an arithmetic number, because the mean of its divisors is an integer number (175140).

Almost surely, 23333972 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 3333972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203360).

3333972 is an abundant number, since it is smaller than the sum of its proper divisors (5072748).

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

3333972 is a wasteful number, since it uses less digits than its factorization.

3333972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 358 counting only the distinct ones).

The product of its digits is 10206, while the sum is 30.

The square root of 3333972 is about 1825.9167560434. The cubic root of 3333972 is about 149.3896980221.

It can be divided in two parts, 33339 and 72, that added together give a triangular number (33411 = T258).

The spelling of 3333972 in words is "three million, three hundred thirty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 277 354 554 708 831 1003 1108 1662 2006 3009 3324 4012 4709 6018 9418 12036 14127 16343 18836 28254 32686 49029 56508 65372 98058 196116 277831 555662 833493 1111324 1666986 3333972