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6342870040 = 2351337329671
BaseRepresentation
bin1011110100001000…
…01000010000011000
3121101001020011221121
411322010020100120
5100442233320130
62525221415024
7313116335323
oct57204102030
917331204847
106342870040
112765426161
12129026a474
137a1126850
144425817ba
15271cb3d7a
hex17a108418

6342870040 has 64 divisors (see below), whose sum is σ = 15784695360. Its totient is φ = 2278679040.

The previous prime is 6342869969. The next prime is 6342870047. The reversal of 6342870040 is 400782436.

It is a junction number, because it is equal to n+sod(n) for n = 6342869978 and 6342870005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6342870047) 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, 145596 + ... + 184075.

It is an arithmetic number, because the mean of its divisors is an integer number (246635865).

Almost surely, 26342870040 is an apocalyptic number.

It is an amenable number.

6342870040 is an abundant number, since it is smaller than the sum of its proper divisors (9441825320).

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

6342870040 is a wasteful number, since it uses less digits than its factorization.

6342870040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329732 (or 329728 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 6342870040 is about 79642.1373394763. The cubic root of 6342870040 is about 1851.0945594792.

The spelling of 6342870040 in words is "six billion, three hundred forty-two million, eight hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 19240 329671 659342 1318684 1648355 2637368 3296710 4285723 6593420 8571446 12197827 13186840 17142892 21428615 24395654 34285784 42857230 48791308 60989135 85714460 97582616 121978270 158571751 171428920 243956540 317143502 487913080 634287004 792858755 1268574008 1585717510 3171435020 6342870040