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34419936 = 253358541
BaseRepresentation
bin1000001101001…
…1010011100000
32101202201021110
42003103103200
532302414221
63225423320
7565364445
oct203232340
971681243
1034419936
111847a231
12b63ab40
137191a35
1447dd9cc
15304d776
hex20d34e0

34419936 has 24 divisors (see below), whose sum is σ = 90352584. Its totient is φ = 11473280.

The previous prime is 34419923. The next prime is 34419941. The reversal of 34419936 is 63991443.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34419894 and 34419903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179175 + ... + 179366.

It is an arithmetic number, because the mean of its divisors is an integer number (3764691).

Almost surely, 234419936 is an apocalyptic number.

It is an amenable number.

34419936 is an abundant number, since it is smaller than the sum of its proper divisors (55932648).

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

34419936 is a wasteful number, since it uses less digits than its factorization.

34419936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358554 (or 358546 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 34419936 is about 5866.8506031771. The cubic root of 34419936 is about 325.2894809357.

The spelling of 34419936 in words is "thirty-four million, four hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 358541 717082 1075623 1434164 2151246 2868328 4302492 5736656 8604984 11473312 17209968 34419936