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33240144 = 243798929
BaseRepresentation
bin111111011001…
…1010001010000
32022112202220110
41332303101100
532002141034
63144241320
7552352020
oct176632120
968482813
1033240144
11178438a3
12b170240
136b6aa32
1445b3a80
152db8de9
hex1fb3450

33240144 has 40 divisors (see below), whose sum is σ = 98138560. Its totient is φ = 9497088.

The previous prime is 33240133. The next prime is 33240149. The reversal of 33240144 is 44104233.

It is a super-2 number, since 2×332401442 = 2209814346281472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 33240144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33240149) 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 7 ways as a sum of consecutive naturals, for example, 49129 + ... + 49800.

It is an arithmetic number, because the mean of its divisors is an integer number (2453464).

Almost surely, 233240144 is an apocalyptic number.

It is an amenable number.

33240144 is an abundant number, since it is smaller than the sum of its proper divisors (64898416).

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

33240144 is a wasteful number, since it uses less digits than its factorization.

33240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98947 (or 98941 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 33240144 is about 5765.4266104079. The cubic root of 33240144 is about 321.5296039082.

Adding to 33240144 its reverse (44104233), we get a palindrome (77344377).

The spelling of 33240144 in words is "thirty-three million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 98929 197858 296787 395716 593574 692503 791432 1187148 1385006 1582864 2077509 2374296 2770012 4155018 4748592 5540024 8310036 11080048 16620072 33240144