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34319480 = 23513312129
BaseRepresentation
bin1000001011101…
…0110001111000
32101120121110212
42002322301320
532241210410
63223330252
7564465536
oct202726170
971517425
1034319480
1118410808
12b5b0988
1371580b0
1447b5156
15302db05
hex20bac78

34319480 has 64 divisors (see below), whose sum is σ = 85881600. Its totient is φ = 12257280.

The previous prime is 34319471. The next prime is 34319503. The reversal of 34319480 is 8491343.

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, 15056 + ... + 17184.

It is an arithmetic number, because the mean of its divisors is an integer number (1341900).

Almost surely, 234319480 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 34319480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42940800).

34319480 is an abundant number, since it is smaller than the sum of its proper divisors (51562120).

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

34319480 is a wasteful number, since it uses less digits than its factorization.

34319480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 34319480 is about 5858.2830249144. The cubic root of 34319480 is about 324.9727156582.

The spelling of 34319480 in words is "thirty-four million, three hundred nineteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 2129 3224 4030 4258 8060 8516 10645 16120 17032 21290 27677 42580 55354 65999 85160 110708 131998 138385 221416 263996 276770 329995 527992 553540 659990 857987 1107080 1319980 1715974 2639960 3431948 4289935 6863896 8579870 17159740 34319480