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34361740 = 225735009
BaseRepresentation
bin1000001100010…
…1000110001100
32101122202110001
42003011012030
532244033430
63224254044
7565033000
oct203050614
971582401
1034361740
111843a536
12b611324
1371713ba
1447c6700
15303b3ca
hex20c518c

34361740 has 48 divisors (see below), whose sum is σ = 84168000. Its totient is φ = 11778816.

The previous prime is 34361713. The next prime is 34361741. The reversal of 34361740 is 4716343.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34361699 and 34361708.

It is not an unprimeable number, because it can be changed into a prime (34361741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4356 + ... + 9364.

It is an arithmetic number, because the mean of its divisors is an integer number (1753500).

Almost surely, 234361740 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 34361740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42084000).

34361740 is an abundant number, since it is smaller than the sum of its proper divisors (49806260).

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

34361740 is a wasteful number, since it uses less digits than its factorization.

34361740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 34361740 is about 5861.8887741069. Note that the first 3 decimals coincide. The cubic root of 34361740 is about 325.1060482327.

The spelling of 34361740 in words is "thirty-four million, three hundred sixty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 5009 6860 10018 20036 25045 35063 50090 70126 100180 140252 175315 245441 350630 490882 701260 981764 1227205 1718087 2454410 3436174 4908820 6872348 8590435 17180870 34361740