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33074316 = 223211174
BaseRepresentation
bin111111000101…
…0110010001100
32022020100102200
41332022302030
531431334231
63140521500
7551061402
oct176126214
968210380
1033074316
1117740250
12b0b0290
136b10402
14456d472
152d84be6
hex1f8ac8c

33074316 has 90 divisors (see below), whose sum is σ = 96905172. Its totient is φ = 9432960.

The previous prime is 33074287. The next prime is 33074317. The reversal of 33074316 is 61347033.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 33074316.

It is not an unprimeable number, because it can be changed into a prime (33074317) 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 29 ways as a sum of consecutive naturals, for example, 1945540 + ... + 1945556.

Almost surely, 233074316 is an apocalyptic number.

33074316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33074316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48452586).

33074316 is an abundant number, since it is smaller than the sum of its proper divisors (63830856).

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

33074316 is a wasteful number, since it uses less digits than its factorization.

33074316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 33074316 is about 5751.0273864763. The cubic root of 33074316 is about 320.9940313910.

The spelling of 33074316 in words is "thirty-three million, seventy-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 289 306 374 396 561 578 612 748 867 1122 1156 1683 1734 2244 2601 3179 3366 3468 4913 5202 6358 6732 9537 9826 10404 12716 14739 19074 19652 28611 29478 38148 44217 54043 57222 58956 83521 88434 108086 114444 162129 167042 176868 216172 250563 324258 334084 486387 501126 648516 751689 918731 972774 1002252 1503378 1837462 1945548 2756193 3006756 3674924 5512386 8268579 11024772 16537158 33074316