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1374589440 = 293457947
BaseRepresentation
bin101000111101110…
…1001001000000000
310112210112101020000
41101323221020000
510303343330230
6344222120000
746030550250
oct12173511000
93483471200
101374589440
11645a13434
12324420000
1318ba22743
14d07b9960
1580a25b60
hex51ee9200

1374589440 has 400 divisors, whose sum is σ = 5632621632. Its totient is φ = 313860096.

The previous prime is 1374589423. The next prime is 1374589441. The reversal of 1374589440 is 449854731.

It is a super-2 number, since 2×13745894402 = 3778992257119027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1374589441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451047 + ... + 1451993.

Almost surely, 21374589440 is an apocalyptic number.

1374589440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816310816).

1374589440 is an abundant number, since it is smaller than the sum of its proper divisors (4258032192).

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

1374589440 is an frugal number, since it uses more digits than its factorization.

1374589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1374589440 is about 37075.4560322594. The cubic root of 1374589440 is about 1111.8793582350.

The spelling of 1374589440 in words is "one billion, three hundred seventy-four million, five hundred eighty-nine thousand, four hundred forty".