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1074319440 = 24354476331
BaseRepresentation
bin100000000001000…
…1101000001010000
32202212112002012220
41000002031001100
54200011210230
6254334221040
735423364435
oct10002150120
92685462186
101074319440
11501475107
1225b954780
1314175ba9c
14a2975b8c
15644b1d10
hex4008d050

1074319440 has 40 divisors (see below), whose sum is σ = 3330391008. Its totient is φ = 286485120.

The previous prime is 1074319427. The next prime is 1074319459. The reversal of 1074319440 is 449134701.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2237926 + ... + 2238405.

Almost surely, 21074319440 is an apocalyptic number.

1074319440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074319440 is an abundant number, since it is smaller than the sum of its proper divisors (2256071568).

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

1074319440 is a wasteful number, since it uses less digits than its factorization.

1074319440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476347 (or 4476341 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1074319440 is about 32776.8125356936. The cubic root of 1074319440 is about 1024.1835862654.

The spelling of 1074319440 in words is "one billion, seventy-four million, three hundred nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4476331 8952662 13428993 17905324 22381655 26857986 35810648 44763310 53715972 67144965 71621296 89526620 107431944 134289930 179053240 214863888 268579860 358106480 537159720 1074319440