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34498040 = 2353143647
BaseRepresentation
bin1000001110011…
…0010111111000
32101220200102012
42003212113320
532312414130
63231225052
7566141243
oct203462770
971820365
1034498040
1118522985
12b678188
1371bb455
14482025a
153066995
hex20e65f8

34498040 has 64 divisors (see below), whose sum is σ = 82114560. Its totient is φ = 13023360.

The previous prime is 34498039. The next prime is 34498073. The reversal of 34498040 is 4089443.

34498040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344980402 = 2380229527683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34497988 and 34498006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52997 + ... + 53643.

It is an arithmetic number, because the mean of its divisors is an integer number (1283040).

Almost surely, 234498040 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 34498040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41057280).

34498040 is an abundant number, since it is smaller than the sum of its proper divisors (47616520).

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

34498040 is a wasteful number, since it uses less digits than its factorization.

34498040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 34498040 is about 5873.5032135856. The cubic root of 34498040 is about 325.5353386156.

The spelling of 34498040 in words is "thirty-four million, four hundred ninety-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 647 860 1240 1294 1333 1720 2588 2666 3235 5176 5332 6470 6665 10664 12940 13330 20057 25880 26660 27821 40114 53320 55642 80228 100285 111284 139105 160456 200570 222568 278210 401140 556420 802280 862451 1112840 1724902 3449804 4312255 6899608 8624510 17249020 34498040