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34481640 = 2335287347
BaseRepresentation
bin1000001110001…
…0010111101000
32101212211220210
42003202113220
532311403030
63231021120
7566042364
oct203422750
971784823
1034481640
1118511626
12b66a7a0
1371b3b4b
1448182a4
153061bb0
hex20e25e8

34481640 has 32 divisors (see below), whose sum is σ = 103445280. Its totient is φ = 9195072.

The previous prime is 34481621. The next prime is 34481651. The reversal of 34481640 is 4618443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34481598 and 34481607.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 143554 + ... + 143793.

It is an arithmetic number, because the mean of its divisors is an integer number (3232665).

Almost surely, 234481640 is an apocalyptic number.

34481640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34481640 is an abundant number, since it is smaller than the sum of its proper divisors (68963640).

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

34481640 is a wasteful number, since it uses less digits than its factorization.

34481640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287361 (or 287357 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34481640 is about 5872.1069472550. The cubic root of 34481640 is about 325.4837450973.

The spelling of 34481640 in words is "thirty-four million, four hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 287347 574694 862041 1149388 1436735 1724082 2298776 2873470 3448164 4310205 5746940 6896328 8620410 11493880 17240820 34481640