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34730940 = 2235599811
BaseRepresentation
bin1000010001111…
…1001110111100
32102100111220010
42010133032330
532342342230
63240223220
7601131246
oct204371674
972314803
1034730940
1118671962
12b76ab10
13727046a
144881096
1530b09b0
hex211f3bc

34730940 has 48 divisors (see below), whose sum is σ = 98904960. Its totient is φ = 9103680.

The previous prime is 34730939. The next prime is 34730959. The reversal of 34730940 is 4903743.

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 = 34730898 and 34730907.

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, 1366 + ... + 8445.

It is an arithmetic number, because the mean of its divisors is an integer number (2060520).

Almost surely, 234730940 is an apocalyptic number.

34730940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34730940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49452480).

34730940 is an abundant number, since it is smaller than the sum of its proper divisors (64174020).

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

34730940 is a wasteful number, since it uses less digits than its factorization.

34730940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9882 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 34730940 is about 5893.2961914365. The cubic root of 34730940 is about 326.2662709696.

The spelling of 34730940 in words is "thirty-four million, seven hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 9811 19622 29433 39244 49055 58866 98110 117732 147165 196220 294330 578849 588660 1157698 1736547 2315396 2894245 3473094 5788490 6946188 8682735 11576980 17365470 34730940