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274472240 = 24572916901
BaseRepresentation
bin10000010111000…
…001110100110000
3201010110122010112
4100113001310300
51030231102430
643122520452
76541655420
oct2027016460
9633418115
10274472240
11130a29069
1277b06128
1344b30613
142864a480
151916a195
hex105c1d30

274472240 has 80 divisors (see below), whose sum is σ = 754505280. Its totient is φ = 90854400.

The previous prime is 274472221. The next prime is 274472243. The reversal of 274472240 is 42274472.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 274472197 and 274472206.

It is not an unprimeable number, because it can be changed into a prime (274472243) 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 15 ways as a sum of consecutive naturals, for example, 7790 + ... + 24690.

It is an arithmetic number, because the mean of its divisors is an integer number (9431316).

Almost surely, 2274472240 is an apocalyptic number.

274472240 is a gapful number since it is divisible by the number (20) 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 274472240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377252640).

274472240 is an abundant number, since it is smaller than the sum of its proper divisors (480033040).

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

274472240 is a wasteful number, since it uses less digits than its factorization.

274472240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16950 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 32.

The square root of 274472240 is about 16567.2037471626. The cubic root of 274472240 is about 649.8794569365.

The spelling of 274472240 in words is "two hundred seventy-four million, four hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 4060 8120 16240 16901 33802 67604 84505 118307 135208 169010 236614 270416 338020 473228 490129 591535 676040 946456 980258 1183070 1352080 1892912 1960516 2366140 2450645 3430903 3921032 4732280 4901290 6861806 7842064 9464560 9802580 13723612 17154515 19605160 27447224 34309030 39210320 54894448 68618060 137236120 274472240