Search a number
-
+
33402138 = 23711197367
BaseRepresentation
bin111111101101…
…0110100011010
32022212000010020
41333122310122
532022332023
63151531310
7553625220
oct177326432
968760106
1033402138
1117944580
12b229b36
136bc66a3
144616b10
152debde3
hex1fdad1a

33402138 has 64 divisors (see below), whose sum is σ = 83939328. Its totient is φ = 8608320.

The previous prime is 33402121. The next prime is 33402139. The reversal of 33402138 is 83120433.

It is a super-2 number, since 2×334021382 = 2231405645942088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33402139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90831 + ... + 91197.

It is an arithmetic number, because the mean of its divisors is an integer number (1311552).

Almost surely, 233402138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33402138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41969664).

33402138 is an abundant number, since it is smaller than the sum of its proper divisors (50537190).

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

33402138 is a wasteful number, since it uses less digits than its factorization.

33402138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 33402138 is about 5779.4582791123. The cubic root of 33402138 is about 322.0510766037.

The spelling of 33402138 in words is "thirty-three million, four hundred two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 197 231 367 394 462 591 734 1101 1182 1379 2167 2202 2569 2758 4037 4137 4334 5138 6501 7707 8074 8274 12111 13002 15169 15414 24222 28259 30338 45507 56518 72299 84777 91014 144598 169554 216897 433794 506093 795289 1012186 1518279 1590578 2385867 3036558 4771734 5567023 11134046 16701069 33402138