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1374193240 = 235721936901
BaseRepresentation
bin101000111101000…
…1000011001011000
310112202210020201221
41101322020121120
510303243140430
6344205421424
746024310200
oct12172103130
93482706657
101374193240
116457727a2
1232426a874
1318b9142c4
14d0715400
158099857a
hex51e88658

1374193240 has 96 divisors (see below), whose sum is σ = 3786145200. Its totient is φ = 446342400.

The previous prime is 1374193231. The next prime is 1374193241. The reversal of 1374193240 is 423914731.

It is a junction number, because it is equal to n+sod(n) for n = 1374193196 and 1374193205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374193241) 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 23 ways as a sum of consecutive naturals, for example, 18790 + ... + 55690.

Almost surely, 21374193240 is an apocalyptic number.

1374193240 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 1374193240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893072600).

1374193240 is an abundant number, since it is smaller than the sum of its proper divisors (2411951960).

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

1374193240 is a wasteful number, since it uses less digits than its factorization.

1374193240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36945 (or 36934 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 1374193240 is about 37070.1124897133. The cubic root of 1374193240 is about 1111.7725217450.

The spelling of 1374193240 in words is "one billion, three hundred seventy-four million, one hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 133 140 152 190 196 245 266 280 380 392 490 532 665 760 931 980 1064 1330 1862 1960 2660 3724 4655 5320 7448 9310 18620 36901 37240 73802 147604 184505 258307 295208 369010 516614 701119 738020 1033228 1291535 1402238 1476040 1808149 2066456 2583070 2804476 3505595 3616298 4907833 5166140 5608952 7011190 7232596 9040745 9815666 10332280 14022380 14465192 18081490 19631332 24539165 28044760 34354831 36162980 39262664 49078330 68709662 72325960 98156660 137419324 171774155 196313320 274838648 343548310 687096620 1374193240