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34264320 = 28358923
BaseRepresentation
bin1000001010110…
…1010100000000
32101110210210220
42002231110000
532232424240
63222223040
7564145656
oct202552400
971423726
1034264320
1118383322
12b584a80
137138c5c
14479cdd6
15301c5d0
hex20ad500

34264320 has 72 divisors (see below), whose sum is σ = 109443936. Its totient is φ = 9136128.

The previous prime is 34264313. The next prime is 34264327. The reversal of 34264320 is 2346243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34264313) and next prime (34264327).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34264327) 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, 622 + ... + 8301.

Almost surely, 234264320 is an apocalyptic number.

34264320 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 34264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54721968).

34264320 is an abundant number, since it is smaller than the sum of its proper divisors (75179616).

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

34264320 is an equidigital number, since it uses as much as digits as its factorization.

34264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8947 (or 8933 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34264320 is about 5853.5732676716. The cubic root of 34264320 is about 324.7985181163.

The spelling of 34264320 in words is "thirty-four million, two hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 8923 17846 26769 35692 44615 53538 71384 89230 107076 133845 142768 178460 214152 267690 285536 356920 428304 535380 571072 713840 856608 1070760 1142144 1427680 1713216 2141520 2284288 2855360 3426432 4283040 5710720 6852864 8566080 11421440 17132160 34264320