Search a number
-
+
34519440 = 2435143831
BaseRepresentation
bin1000001110101…
…1100110010000
32101221202202210
42003223212100
532314110230
63231512120
7566260524
oct203534620
971852683
1034519440
1118537a6a
12b688640
1371c8107
144827d84
15306ceb0
hex20eb990

34519440 has 40 divisors (see below), whose sum is σ = 107011008. Its totient is φ = 9205120.

The previous prime is 34519439. The next prime is 34519493. The reversal of 34519440 is 4491543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 34519398 and 34519407.

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, 71676 + ... + 72155.

Almost surely, 234519440 is an apocalyptic number.

34519440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34519440 is an abundant number, since it is smaller than the sum of its proper divisors (72491568).

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

34519440 is a wasteful number, since it uses less digits than its factorization.

34519440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143847 (or 143841 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 34519440 is about 5875.3246718798. The cubic root of 34519440 is about 325.6026372820.

The spelling of 34519440 in words is "thirty-four million, five hundred nineteen 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 143831 287662 431493 575324 719155 862986 1150648 1438310 1725972 2157465 2301296 2876620 3451944 4314930 5753240 6903888 8629860 11506480 17259720 34519440