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411404240 = 24513395581
BaseRepresentation
bin11000100001011…
…000011111010000
31001200010111112002
4120201120133100
51320304413430
6104453453132
713123610162
oct3041303720
91050114462
10411404240
111a1255105
12b59411a8
1367305380
143c8d2932
15261b7845
hex188587d0

411404240 has 40 divisors (see below), whose sum is σ = 1030095528. Its totient is φ = 151902720.

The previous prime is 411404153. The next prime is 411404281. The reversal of 411404240 is 42404114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22052416 + 389351824 = 4696^2 + 19732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196751 + ... + 198830.

Almost surely, 2411404240 is an apocalyptic number.

411404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411404240 is an abundant number, since it is smaller than the sum of its proper divisors (618691288).

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

411404240 is a wasteful number, since it uses less digits than its factorization.

411404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395607 (or 395601 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 411404240 is about 20283.1023268138. The cubic root of 411404240 is about 743.7430511320.

Adding to 411404240 its reverse (42404114), we get a palindrome (453808354).

The spelling of 411404240 in words is "four hundred eleven million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 395581 791162 1582324 1977905 3164648 3955810 5142553 6329296 7911620 10285106 15823240 20570212 25712765 31646480 41140424 51425530 82280848 102851060 205702120 411404240