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34360040 = 23511136007
BaseRepresentation
bin1000001100010…
…0101011101000
32101122200010002
42003010223220
532244010130
63224242132
7565025021
oct203045350
971580102
1034360040
1118439230
12b610348
1371706b0
1447c5c48
15303ab45
hex20c4ae8

34360040 has 64 divisors (see below), whose sum is σ = 90840960. Its totient is φ = 11531520.

The previous prime is 34360033. The next prime is 34360057. The reversal of 34360040 is 4006343.

It is a happy number.

It is a super-2 number, since 2×343600402 = 2361224697603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34359994 and 34360021.

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, 2717 + ... + 8723.

It is an arithmetic number, because the mean of its divisors is an integer number (1419390).

Almost surely, 234360040 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 34360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45420480).

34360040 is an abundant number, since it is smaller than the sum of its proper divisors (56480920).

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

34360040 is a wasteful number, since it uses less digits than its factorization.

34360040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 34360040 is about 5861.7437678561. The cubic root of 34360040 is about 325.1006867522.

Adding to 34360040 its reverse (4006343), we get a palindrome (38366383).

The spelling of 34360040 in words is "thirty-four million, three hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 6007 12014 24028 30035 48056 60070 66077 78091 120140 132154 156182 240280 264308 312364 330385 390455 528616 624728 660770 780910 859001 1321540 1561820 1718002 2643080 3123640 3436004 4295005 6872008 8590010 17180020 34360040