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19034240 = 27529741
BaseRepresentation
bin100100010011…
…1000010000000
31022211001001212
41020213002000
514333043430
61515545252
7320534261
oct110470200
938731055
1019034240
11a820785
12645b228
133c35984
142756968
151a0eb95
hex1227080

19034240 has 32 divisors (see below), whose sum is σ = 45505260. Its totient is φ = 7613440.

The previous prime is 19034221. The next prime is 19034287. The reversal of 19034240 is 4243091.

It can be written as a sum of positive squares in 2 ways, for example, as 18593344 + 440896 = 4312^2 + 664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14231 + ... + 15510.

Almost surely, 219034240 is an apocalyptic number.

19034240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19034240 is an abundant number, since it is smaller than the sum of its proper divisors (26471020).

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

19034240 is an equidigital number, since it uses as much as digits as its factorization.

19034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29760 (or 29748 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 19034240 is about 4362.8247730112. The cubic root of 19034240 is about 267.0003600364. Note that the first 3 decimals are identical.

The spelling of 19034240 in words is "nineteen million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 29741 59482 118964 148705 237928 297410 475856 594820 951712 1189640 1903424 2379280 3806848 4758560 9517120 19034240