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314741240 = 235113719333
BaseRepresentation
bin10010110000101…
…001000111111000
3210221020111210222
4102300221013320
51121033204430
651121555212
710541153642
oct2260510770
9727214728
10314741240
11151732830
12894a5b08
135028c728
142db2d892
151c9719e5
hex12c291f8

314741240 has 64 divisors (see below), whose sum is σ = 793467360. Its totient is φ = 111352320.

The previous prime is 314741239. The next prime is 314741243. The reversal of 314741240 is 42147413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314741243) 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 15 ways as a sum of consecutive naturals, for example, 6614 + ... + 25946.

Almost surely, 2314741240 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 314741240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396733680).

314741240 is an abundant number, since it is smaller than the sum of its proper divisors (478726120).

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

314741240 is a wasteful number, since it uses less digits than its factorization.

314741240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19392 (or 19388 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 314741240 is about 17740.9481144611. The cubic root of 314741240 is about 680.2228508344. Note that the first 3 decimals are identical.

Adding to 314741240 its reverse (42147413), we get a palindrome (356888653).

The spelling of 314741240 in words is "three hundred fourteen million, seven hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 8140 16280 19333 38666 77332 96665 154664 193330 212663 386660 425326 715321 773320 850652 1063315 1430642 1701304 2126630 2861284 3576605 4253260 5722568 7153210 7868531 8506520 14306420 15737062 28612840 31474124 39342655 62948248 78685310 157370620 314741240