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33430540 = 225111311689
BaseRepresentation
bin111111110000…
…1110000001100
32022220110002011
41333201300030
532024234130
63152311004
7554104063
oct177416014
968813064
1033430540
1117963950
12b242464
136c065b0
1446231da
152e0552a
hex1fe1c0c

33430540 has 48 divisors (see below), whose sum is σ = 82484640. Its totient is φ = 11220480.

The previous prime is 33430511. The next prime is 33430541. The reversal of 33430540 is 4503433.

It is a super-4 number, since 4×334305404 (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (33430541) 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 15 ways as a sum of consecutive naturals, for example, 2985 + ... + 8704.

It is an arithmetic number, because the mean of its divisors is an integer number (1718430).

Almost surely, 233430540 is an apocalyptic number.

It is an amenable number.

33430540 is an abundant number, since it is smaller than the sum of its proper divisors (49054100).

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

33430540 is a wasteful number, since it uses less digits than its factorization.

33430540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722 (or 11720 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 33430540 is about 5781.9149077101. The cubic root of 33430540 is about 322.1423312748.

Adding to 33430540 its reverse (4503433), we get a palindrome (37933973).

The spelling of 33430540 in words is "thirty-three million, four hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 11689 23378 46756 58445 116890 128579 151957 233780 257158 303914 514316 607828 642895 759785 1285790 1519570 1671527 2571580 3039140 3343054 6686108 8357635 16715270 33430540