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413240240 = 2457737929
BaseRepresentation
bin11000101000011…
…000101110110000
31001210120210001002
4120220120232300
51321242141430
6105001101132
713145325020
oct3050305660
91053523032
10413240240
111a2299566
12b64877a8
13677c8c6a
143cc4da80
152642b845
hex18a18bb0

413240240 has 40 divisors (see below), whose sum is σ = 1098039840. Its totient is φ = 141682176.

The previous prime is 413240239. The next prime is 413240251. The reversal of 413240240 is 42042314.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368405 + ... + 369524.

It is an arithmetic number, because the mean of its divisors is an integer number (27450996).

Almost surely, 2413240240 is an apocalyptic number.

413240240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413240240 is an abundant number, since it is smaller than the sum of its proper divisors (684799600).

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

413240240 is a wasteful number, since it uses less digits than its factorization.

413240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737949 (or 737943 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 413240240 is about 20328.3112923824. The cubic root of 413240240 is about 744.8477925769.

Adding to 413240240 its reverse (42042314), we get a palindrome (455282554).

The spelling of 413240240 in words is "four hundred thirteen million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 737929 1475858 2951716 3689645 5165503 5903432 7379290 10331006 11806864 14758580 20662012 25827515 29517160 41324024 51655030 59034320 82648048 103310060 206620120 413240240