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33424330440 = 23351072603141
BaseRepresentation
bin11111001000001111…
…101100111011001000
310012021101202220122110
4133020033230323020
51021423112033230
623204355222320
72262200056344
oct371017547310
9105241686573
1033424330440
11131a2188196
1265898a79a0
1331c8959427
14189114a624
15d0958a4b0
hex7c83ecec8

33424330440 has 64 divisors (see below), whose sum is σ = 101210160960. Its totient is φ = 8829850880.

The previous prime is 33424330421. The next prime is 33424330447. The reversal of 33424330440 is 4403342433.

It is a super-2 number, since 2×334243304402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33424330398 and 33424330407.

It is not an unprimeable number, because it can be changed into a prime (33424330447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288731 + ... + 1314410.

It is an arithmetic number, because the mean of its divisors is an integer number (1581408765).

Almost surely, 233424330440 is an apocalyptic number.

33424330440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33424330440 is an abundant number, since it is smaller than the sum of its proper divisors (67785830520).

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

33424330440 is a wasteful number, since it uses less digits than its factorization.

33424330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603262 (or 2603258 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 33424330440 its reverse (4403342433), we get a palindrome (37827672873).

The spelling of 33424330440 in words is "thirty-three billion, four hundred twenty-four million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 2603141 5206282 7809423 10412564 13015705 15618846 20825128 26031410 31237692 39047115 52062820 62475384 78094230 104125640 156188460 278536087 312376920 557072174 835608261 1114144348 1392680435 1671216522 2228288696 2785360870 3342433044 4178041305 5570721740 6684866088 8356082610 11141443480 16712165220 33424330440