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1374585344 = 29111072281
BaseRepresentation
bin101000111101110…
…1000001000000000
310112210112011121022
41101323220020000
510303343212334
6344222045012
746030532306
oct12173501000
93483464538
101374585344
11645a10350
12324419768
1318ba20912
14d07b8276
1580a2482e
hex51ee8200

1374585344 has 80 divisors (see below), whose sum is σ = 3025493856. Its totient is φ = 618700800.

The previous prime is 1374585323. The next prime is 1374585349. The reversal of 1374585344 is 4435854731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 1374585295 and 1374585304.

It is not an unprimeable number, because it can be changed into a prime (1374585349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 601484 + ... + 603764.

Almost surely, 21374585344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374585344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512746928).

1374585344 is an abundant number, since it is smaller than the sum of its proper divisors (1650908512).

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

1374585344 is a wasteful number, since it uses less digits than its factorization.

1374585344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2401 counting only the distinct ones).

The product of its digits is 806400, while the sum is 44.

The square root of 1374585344 is about 37075.4007935181. The cubic root of 1374585344 is about 1111.8782538417.

The spelling of 1374585344 in words is "one billion, three hundred seventy-four million, five hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 176 214 256 352 428 512 704 856 1177 1408 1712 2281 2354 2816 3424 4562 4708 5632 6848 9124 9416 13696 18248 18832 25091 27392 36496 37664 50182 54784 72992 75328 100364 145984 150656 200728 244067 291968 301312 401456 488134 583936 602624 802912 976268 1167872 1605824 1952536 2684737 3211648 3905072 5369474 6423296 7810144 10738948 12846592 15620288 21477896 31240576 42955792 62481152 85911584 124962304 171823168 343646336 687292672 1374585344