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2434314440 = 235109601929
BaseRepresentation
bin1001000100011000…
…1011000011001000
320021122120222122002
42101012023003020
514441141030230
61041315450132
7114216221435
oct22106130310
96248528562
102434314440
11103a11a518
1257b2b6948
132ca44165c
14191432b8c
15e3aa3545
hex9118b0c8

2434314440 has 64 divisors (see below), whose sum is σ = 5542614000. Its totient is φ = 962150400.

The previous prime is 2434314419. The next prime is 2434314451. The reversal of 2434314440 is 444134342.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 962364484 + 1471949956 = 31022^2 + 38366^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2619896 + ... + 2620824.

Almost surely, 22434314440 is an apocalyptic number.

2434314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434314440 is an abundant number, since it is smaller than the sum of its proper divisors (3108299560).

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

2434314440 is a wasteful number, since it uses less digits than its factorization.

2434314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 2434314440 is about 49338.7721776698. The cubic root of 2434314440 is about 1345.2166223328.

Adding to 2434314440 its reverse (444134342), we get a palindrome (2878448782).

It can be divided in two parts, 24343 and 14440, that added together give a palindrome (38783).

The spelling of 2434314440 in words is "two billion, four hundred thirty-four million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 601 872 929 1090 1202 1858 2180 2404 3005 3716 4360 4645 4808 6010 7432 9290 12020 18580 24040 37160 65509 101261 131018 202522 262036 327545 405044 506305 524072 558329 655090 810088 1012610 1116658 1310180 2025220 2233316 2620360 2791645 4050440 4466632 5583290 11166580 22333160 60857861 121715722 243431444 304289305 486862888 608578610 1217157220 2434314440