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33942276 = 22329712
BaseRepresentation
bin1000000101111…
…0101100000100
32100212110001100
42001132230010
532142123101
63211300100
7561335034
oct201365404
970773040
1033942276
1118183375
12b44a630
1370554b4
1447178c4
152ea6e86
hex205eb04

33942276 has 27 divisors (see below), whose sum is σ = 85886983. Its totient is φ = 11302440.

The previous prime is 33942263. The next prime is 33942281. The reversal of 33942276 is 67224933.

It is a happy number.

The square root of 33942276 is 5826.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33942276.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34471 + ... + 35441.

Almost surely, 233942276 is an apocalyptic number.

33942276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33942276 is the 5826-th square number.

It is an amenable number.

33942276 is an abundant number, since it is smaller than the sum of its proper divisors (51944707).

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

33942276 is an equidigital number, since it uses as much as digits as its factorization.

33942276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 976 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The cubic root of 33942276 is about 323.7777396564. Note that the first 4 decimals are identical.

Multiplying 33942276 by its sum of digits (36), we get a square (1221921936 = 349562).

33942276 divided by its sum of digits (36) gives a square (942841 = 9712).

The spelling of 33942276 in words is "thirty-three million, nine hundred forty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 971 1942 2913 3884 5826 8739 11652 17478 34956 942841 1885682 2828523 3771364 5657046 8485569 11314092 16971138 33942276