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33794540 = 22513196841
BaseRepresentation
bin1000000011101…
…0100111101100
32100120221101122
42000322213230
532122411130
63204200112
7560151233
oct200724754
970527348
1033794540
111809237a
12b399038
137003190
1446b9b1a
152e782e5
hex203a9ec

33794540 has 48 divisors (see below), whose sum is σ = 80461920. Its totient is φ = 11819520.

The previous prime is 33794531. The next prime is 33794543. The reversal of 33794540 is 4549733.

It is a super-2 number, since 2×337945402 = 2284141867623200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33794540.

It is not an unprimeable number, because it can be changed into a prime (33794543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520 + ... + 8360.

It is an arithmetic number, because the mean of its divisors is an integer number (1676290).

Almost surely, 233794540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33794540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40230960).

33794540 is an abundant number, since it is smaller than the sum of its proper divisors (46667380).

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

33794540 is a wasteful number, since it uses less digits than its factorization.

33794540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6882 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 33794540 is about 5813.3071482591. The cubic root of 33794540 is about 323.3073017859.

The spelling of 33794540 in words is "thirty-three million, seven hundred ninety-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 6841 13682 27364 34205 68410 88933 129979 136820 177866 259958 355732 444665 519916 649895 889330 1299790 1689727 1778660 2599580 3379454 6758908 8448635 16897270 33794540