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33040420 = 22572331331
BaseRepresentation
bin111111000001…
…0100000100100
32022011121221021
41332002200210
531424243140
63140100524
7550560520
oct176024044
968147837
1033040420
1117717836
12b094744
136acab5a
144560d80
152d79b4a
hex1f82824

33040420 has 96 divisors (see below), whose sum is σ = 85671936. Its totient is φ = 10454400.

The previous prime is 33040393. The next prime is 33040421. The reversal of 33040420 is 2404033.

It is a junction number, because it is equal to n+sod(n) for n = 33040394 and 33040403.

It is not an unprimeable number, because it can be changed into a prime (33040421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99655 + ... + 99985.

It is an arithmetic number, because the mean of its divisors is an integer number (892416).

Almost surely, 233040420 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 33040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42835968).

33040420 is an abundant number, since it is smaller than the sum of its proper divisors (52631516).

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

33040420 is a wasteful number, since it uses less digits than its factorization.

33040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 33040420 is about 5748.0796793364. The cubic root of 33040420 is about 320.8843376868.

Adding to 33040420 its reverse (2404033), we get a palindrome (35444453).

The spelling of 33040420 in words is "thirty-three million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 31 35 46 62 70 92 115 124 140 155 161 217 230 310 322 331 434 460 620 644 662 713 805 868 1085 1324 1426 1610 1655 2170 2317 2852 3220 3310 3565 4340 4634 4991 6620 7130 7613 9268 9982 10261 11585 14260 15226 19964 20522 23170 24955 30452 38065 41044 46340 49910 51305 53291 71827 76130 99820 102610 106582 143654 152260 205220 213164 236003 266455 287308 359135 472006 532910 718270 944012 1065820 1180015 1436540 1652021 2360030 3304042 4720060 6608084 8260105 16520210 33040420