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34706640 = 2435144611
BaseRepresentation
bin1000010001100…
…1010011010000
32102022021120010
42010121103100
532341103030
63235514520
7601000353
oct204312320
972267503
1034706640
1118655681
12b758a40
137262397
14487629a
1530a86b0
hex21194d0

34706640 has 40 divisors (see below), whose sum is σ = 107591328. Its totient is φ = 9255040.

The previous prime is 34706599. The next prime is 34706641. The reversal of 34706640 is 4660743.

34706640 is nontrivially palindromic in base 11.

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

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 = 34706598 and 34706607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34706641) 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, 72066 + ... + 72545.

Almost surely, 234706640 is an apocalyptic number.

34706640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34706640 is an abundant number, since it is smaller than the sum of its proper divisors (72884688).

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

34706640 is a wasteful number, since it uses less digits than its factorization.

34706640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144627 (or 144621 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 34706640 is about 5891.2341661149. The cubic root of 34706640 is about 326.1901609253.

The spelling of 34706640 in words is "thirty-four million, seven hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 144611 289222 433833 578444 723055 867666 1156888 1446110 1735332 2169165 2313776 2892220 3470664 4338330 5784440 6941328 8676660 11568880 17353320 34706640