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1434318400 = 2652896449
BaseRepresentation
bin101010101111101…
…1111011001000000
310200221220220221201
41111133133121000
510414141142100
6354154230544
750354335204
oct12537373100
93627826851
101434318400
116766a9709
12340425454
1319b206218
14d86c6b04
1585dc336a
hex557df640

1434318400 has 42 divisors (see below), whose sum is σ = 3529323650. Its totient is φ = 573726720.

The previous prime is 1434318397. The next prime is 1434318427. The reversal of 1434318400 is 48134341.

It can be written as a sum of positive squares in 3 ways, for example, as 10916416 + 1423401984 = 3304^2 + 37728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 446625 + ... + 449824.

Almost surely, 21434318400 is an apocalyptic number.

1434318400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434318400 is an abundant number, since it is smaller than the sum of its proper divisors (2095005250).

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

1434318400 is an equidigital number, since it uses as much as digits as its factorization.

1434318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896471 (or 896456 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1434318400 is about 37872.3962801405. The cubic root of 1434318400 is about 1127.7561131261.

The spelling of 1434318400 in words is "one billion, four hundred thirty-four million, three hundred eighteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 896449 1792898 3585796 4482245 7171592 8964490 14343184 17928980 22411225 28686368 35857960 44822450 57372736 71715920 89644900 143431840 179289800 286863680 358579600 717159200 1434318400