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34379440 = 2451721487
BaseRepresentation
bin1000001100100…
…1011010110000
32101200122201121
42003021122300
532300120230
63224512024
7565135414
oct203113260
971618647
1034379440
1118451867
12b61b614
137179484
1447ccd44
15304177a
hex20c96b0

34379440 has 60 divisors (see below), whose sum is σ = 84967776. Its totient is φ = 12934144.

The previous prime is 34379437. The next prime is 34379441. The reversal of 34379440 is 4497343.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 34379396 and 34379405.

It is not an unprimeable number, because it can be changed into a prime (34379441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22377 + ... + 23863.

Almost surely, 234379440 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 34379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42483888).

34379440 is an abundant number, since it is smaller than the sum of its proper divisors (50588336).

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

34379440 is a wasteful number, since it uses less digits than its factorization.

34379440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 34379440 is about 5863.3983320255. The cubic root of 34379440 is about 325.1618602036.

The spelling of 34379440 in words is "thirty-four million, three hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 1487 2312 2890 2974 4624 5780 5948 7435 11560 11896 14870 23120 23792 25279 29740 50558 59480 101116 118960 126395 202232 252790 404464 429743 505580 859486 1011160 1718972 2022320 2148715 3437944 4297430 6875888 8594860 17189720 34379440