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678427440 = 243510912591
BaseRepresentation
bin101000011011111…
…111101100110000
31202021120200111020
4220123333230300
52342134134230
6151153015440
722545352365
oct5033775460
91667520436
10678427440
11318a55639
1216b254580
13aa728272
146616046c
153e860810
hex286ffb30

678427440 has 80 divisors (see below), whose sum is σ = 2105865216. Its totient is φ = 180678400.

The previous prime is 678427429. The next prime is 678427441. The reversal of 678427440 is 44724876.

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 = 678427392 and 678427401.

It is not an unprimeable number, because it can be changed into a prime (678427441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260545 + ... + 263135.

Almost surely, 2678427440 is an apocalyptic number.

678427440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

678427440 is an abundant number, since it is smaller than the sum of its proper divisors (1427437776).

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

678427440 is a wasteful number, since it uses less digits than its factorization.

678427440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 678427440 is about 26046.6397064957. The cubic root of 678427440 is about 878.6875407760.

The spelling of 678427440 in words is "six hundred seventy-eight million, four hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1091 2182 2591 3273 4364 5182 5455 6546 7773 8728 10364 10910 12955 13092 15546 16365 17456 20728 21820 25910 26184 31092 32730 38865 41456 43640 51820 52368 62184 65460 77730 87280 103640 124368 130920 155460 207280 261840 310920 621840 2826781 5653562 8480343 11307124 14133905 16960686 22614248 28267810 33921372 42401715 45228496 56535620 67842744 84803430 113071240 135685488 169606860 226142480 339213720 678427440