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34820720 = 2451139569
BaseRepresentation
bin1000010011010…
…1001001110000
32102112002001022
42010311021300
532403230340
63242155012
7601654064
oct204651160
972462038
1034820720
1118723360
12b7b2a68
1372a229c
1448a5aa4
1530cc3b5
hex2135270

34820720 has 40 divisors (see below), whose sum is σ = 88320240. Its totient is φ = 12661760.

The previous prime is 34820707. The next prime is 34820729. The reversal of 34820720 is 2702843.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34820720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34820729) 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, 18905 + ... + 20664.

It is an arithmetic number, because the mean of its divisors is an integer number (2208006).

Almost surely, 234820720 is an apocalyptic number.

It is an amenable number.

34820720 is an abundant number, since it is smaller than the sum of its proper divisors (53499520).

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

34820720 is a wasteful number, since it uses less digits than its factorization.

34820720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39593 (or 39587 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 34820720 is about 5900.9084046442. The cubic root of 34820720 is about 326.5471634701.

The spelling of 34820720 in words is "thirty-four million, eight hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 39569 79138 158276 197845 316552 395690 435259 633104 791380 870518 1582760 1741036 2176295 3165520 3482072 4352590 6964144 8705180 17410360 34820720