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33742296 = 2332766949
BaseRepresentation
bin1000000010110…
…1110111011000
32100111021201200
42000231313120
532114223141
63203114200
7556543020
oct200556730
970437650
1033742296
11180570a5
12b372960
136cb5473
1446a4a80
152e67ab6
hex202ddd8

33742296 has 48 divisors (see below), whose sum is σ = 104442000. Its totient is φ = 9640512.

The previous prime is 33742273. The next prime is 33742337. The reversal of 33742296 is 69224733.

It is a happy number.

It is a super-2 number, since 2×337422962 = 2277085078703232, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 33742296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32971 + ... + 33978.

It is an arithmetic number, because the mean of its divisors is an integer number (2175875).

Almost surely, 233742296 is an apocalyptic number.

33742296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33742296 is an abundant number, since it is smaller than the sum of its proper divisors (70699704).

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

33742296 is a wasteful number, since it uses less digits than its factorization.

33742296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66968 (or 66961 counting only the distinct ones).

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

The square root of 33742296 is about 5808.8119267196. The cubic root of 33742296 is about 323.1406123523.

The spelling of 33742296 in words is "thirty-three million, seven hundred forty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 66949 133898 200847 267796 401694 468643 535592 602541 803388 937286 1205082 1405929 1606776 1874572 2410164 2811858 3749144 4217787 4820328 5623716 8435574 11247432 16871148 33742296