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1374190848 = 2832677881
BaseRepresentation
bin101000111101000…
…0111110100000000
310112202210010110100
41101322013310000
510303243101343
6344205402400
746024300212
oct12172076400
93482703410
101374190848
11645770a18
12324269400
1318b9131a4
14d07145b2
15809979d3
hex51e87d00

1374190848 has 108 divisors (see below), whose sum is σ = 3972487428. Its totient is φ = 456867840.

The previous prime is 1374190823. The next prime is 1374190849. The reversal of 1374190848 is 8480914731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 926106624 + 448084224 = 30432^2 + 21168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374190849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1559368 + ... + 1560248.

It is an arithmetic number, because the mean of its divisors is an integer number (36782291).

Almost surely, 21374190848 is an apocalyptic number.

1374190848 is a gapful number since it is divisible by the number (18) 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 1374190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986243714).

1374190848 is an abundant number, since it is smaller than the sum of its proper divisors (2598296580).

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

1374190848 is an equidigital number, since it uses as much as digits as its factorization.

1374190848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1374190848 is about 37070.0802265115. The cubic root of 1374190848 is about 1111.7718766728.

The spelling of 1374190848 in words is "one billion, three hundred seventy-four million, one hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 677 768 881 1152 1354 1762 2031 2304 2643 2708 3524 4062 5286 5416 6093 7048 7929 8124 10572 10832 12186 14096 15858 16248 21144 21664 24372 28192 31716 32496 42288 43328 48744 56384 63432 64992 84576 86656 97488 112768 126864 129984 169152 173312 194976 225536 253728 259968 338304 389952 507456 519936 596437 676608 779904 1014912 1192874 1559808 1789311 2029824 2385748 3578622 4771496 5367933 7157244 9542992 10735866 14314488 19085984 21471732 28628976 38171968 42943464 57257952 76343936 85886928 114515904 152687872 171773856 229031808 343547712 458063616 687095424 1374190848