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763333340 = 225711245061
BaseRepresentation
bin101101011111111…
…000101011011100
31222012100100111012
4231133320223130
53030403131330
6203424514352
724626140430
oct5537705334
91865310435
10763333340
11361977700
1219377b9b8
13c21b5643
14735429c0
1547032c95
hex2d7f8adc

763333340 has 72 divisors (see below), whose sum is σ = 2013730656. Its totient is φ = 237916800.

The previous prime is 763333339. The next prime is 763333343. The reversal of 763333340 is 43333367.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 763333297 and 763333306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763333343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5591 + ... + 39470.

Almost surely, 2763333340 is an apocalyptic number.

763333340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

763333340 is an abundant number, since it is smaller than the sum of its proper divisors (1250397316).

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

763333340 is a wasteful number, since it uses less digits than its factorization.

763333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45099 (or 45086 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 32.

The square root of 763333340 is about 27628.4878341179. The cubic root of 763333340 is about 913.9127659755.

The spelling of 763333340 in words is "seven hundred sixty-three million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 16940 45061 90122 180244 225305 315427 450610 495671 630854 901220 991342 1261708 1577135 1982684 2478355 3154270 3469697 4956710 5452381 6308540 6939394 9913420 10904762 13878788 17348485 21809524 27261905 34696970 38166667 54523810 69393940 76333334 109047620 152666668 190833335 381666670 763333340