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34407340 = 22511295393
BaseRepresentation
bin1000001101000…
…0001110101100
32101202001222221
42003100032230
532302013330
63225245124
7565312642
oct203201654
971661887
1034407340
1118470820
12b6337a4
137189096
1447d9192
153049b7a
hex20d03ac

34407340 has 48 divisors (see below), whose sum is σ = 81557280. Its totient is φ = 12078080.

The previous prime is 34407301. The next prime is 34407349. The reversal of 34407340 is 4370443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34407349) 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, 3684 + ... + 9076.

It is an arithmetic number, because the mean of its divisors is an integer number (1699110).

Almost surely, 234407340 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 34407340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40778640).

34407340 is an abundant number, since it is smaller than the sum of its proper divisors (47149940).

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

34407340 is a wasteful number, since it uses less digits than its factorization.

34407340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 34407340 is about 5865.7770158778. Note that the first 3 decimals coincide. The cubic root of 34407340 is about 325.2497961223.

Adding to 34407340 its reverse (4370443), we get a palindrome (38777783).

The spelling of 34407340 in words is "thirty-four million, four hundred seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 5393 6380 10786 21572 26965 53930 59323 107860 118646 156397 237292 296615 312794 593230 625588 781985 1186460 1563970 1720367 3127940 3440734 6881468 8601835 17203670 34407340