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314124240 = 24353142221
BaseRepresentation
bin10010101110010…
…010011111010000
3210220002011110010
4102232102133100
51120403433430
651100434520
710533004053
oct2256223720
9726064403
10314124240
11151351211
1289248a40
1350104941
142da0ca9a
151c89dcb0
hex12b927d0

314124240 has 80 divisors (see below), whose sum is σ = 1005221376. Its totient is φ = 81062400.

The previous prime is 314124227. The next prime is 314124301. The reversal of 314124240 is 42421413.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13671 + ... + 28550.

Almost surely, 2314124240 is an apocalyptic number.

314124240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314124240 is an abundant number, since it is smaller than the sum of its proper divisors (691097136).

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

314124240 is a wasteful number, since it uses less digits than its factorization.

314124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42268 (or 42262 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 314124240 is about 17723.5504343797. The cubic root of 314124240 is about 679.7780705994.

Adding to 314124240 its reverse (42421413), we get a palindrome (356545653).

The spelling of 314124240 in words is "three hundred fourteen million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 42221 84442 126663 168884 211105 253326 337768 422210 506652 633315 675536 844420 1013304 1266630 1308851 1688840 2026608 2533260 2617702 3377680 3926553 5066520 5235404 6544255 7853106 10133040 10470808 13088510 15706212 19632765 20941616 26177020 31412424 39265530 52354040 62824848 78531060 104708080 157062120 314124240