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34414240 = 255730727
BaseRepresentation
bin1000001101000…
…1111010100000
32101202102110111
42003101322200
532302223430
63225341104
7565342030
oct203217240
971672414
1034414240
1118475a23
12b637794
13718c273
1447db8c0
15304bc2a
hex20d1ea0

34414240 has 48 divisors (see below), whose sum is σ = 92921472. Its totient is φ = 11798784.

The previous prime is 34414231. The next prime is 34414241. The reversal of 34414240 is 4241443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34414241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14244 + ... + 16483.

It is an arithmetic number, because the mean of its divisors is an integer number (1935864).

Almost surely, 234414240 is an apocalyptic number.

It is an amenable number.

34414240 is an abundant number, since it is smaller than the sum of its proper divisors (58507232).

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

34414240 is a wasteful number, since it uses less digits than its factorization.

34414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30749 (or 30741 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 34414240 is about 5866.3651437666. The cubic root of 34414240 is about 325.2715363827.

Adding to 34414240 its reverse (4241443), we get a palindrome (38655683).

The spelling of 34414240 in words is "thirty-four million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 30727 61454 122908 153635 215089 245816 307270 430178 491632 614540 860356 983264 1075445 1229080 1720712 2150890 2458160 3441424 4301780 4916320 6882848 8603560 17207120 34414240