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3434808 = 23313101109
BaseRepresentation
bin1101000110100100111000
320110111200010
431012210320
51334403213
6201341520
741124006
oct15064470
96414603
103434808
111a36693
1211978a0
13933540
14655a76
1547cac3
hex346938

3434808 has 64 divisors (see below), whose sum is σ = 9424800. Its totient is φ = 1036800.

The previous prime is 3434791. The next prime is 3434813. The reversal of 3434808 is 8084343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31458 + ... + 31566.

Almost surely, 23434808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712400).

3434808 is an abundant number, since it is smaller than the sum of its proper divisors (5989992).

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

3434808 is a wasteful number, since it uses less digits than its factorization.

3434808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

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

The square root of 3434808 is about 1853.3235011730. The cubic root of 3434808 is about 150.8808615385.

It can be divided in two parts, 343 and 4808, that added together give a triangular number (5151 = T101).

The spelling of 3434808 in words is "three million, four hundred thirty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 109 156 202 218 303 312 327 404 436 606 654 808 872 1212 1308 1313 1417 2424 2616 2626 2834 3939 4251 5252 5668 7878 8502 10504 11009 11336 15756 17004 22018 31512 33027 34008 44036 66054 88072 132108 143117 264216 286234 429351 572468 858702 1144936 1717404 3434808