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374203040 = 255672521
BaseRepresentation
bin10110010011011…
…110001010100000
3222002010111001212
4112103132022200
51231243444130
6101044245252
712162446651
oct2623361240
9862114055
10374203040
11182256312
12a53a0828
135c6ab723
14379ab528
1522cb9e95
hex164de2a0

374203040 has 72 divisors (see below), whose sum is σ = 899169012. Its totient is φ = 147164160.

The previous prime is 374203021. The next prime is 374203091. The reversal of 374203040 is 40302473.

It is a happy number.

374203040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 362064784 + 12138256 = 19028^2 + 3484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 374202997 and 374203015.

It is an unprimeable number.

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, 717980 + ... + 718500.

Almost surely, 2374203040 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 374203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449584506).

374203040 is an abundant number, since it is smaller than the sum of its proper divisors (524965972).

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

374203040 is an equidigital number, since it uses as much as digits as its factorization.

374203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 374203040 is about 19344.3283677671. The cubic root of 374203040 is about 720.6135716265.

The spelling of 374203040 in words is "three hundred seventy-four million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 521 536 670 1042 1072 1340 2084 2144 2605 2680 4168 4489 5210 5360 8336 8978 10420 10720 16672 17956 20840 22445 34907 35912 41680 44890 69814 71824 83360 89780 139628 143648 174535 179560 279256 349070 359120 558512 698140 718240 1117024 1396280 2338769 2792560 4677538 5585120 9355076 11693845 18710152 23387690 37420304 46775380 74840608 93550760 187101520 374203040