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34242040 = 2357294217
BaseRepresentation
bin1000001010011…
…1110111111000
32101102200020201
42002213313320
532231221130
63221531544
7564024010
oct202476770
971380221
1034242040
1118368608
12b573bb4
13712ba81
144794c40
153015bca
hex20a7df8

34242040 has 64 divisors (see below), whose sum is σ = 91108800. Its totient is φ = 11332608.

The previous prime is 34242017. The next prime is 34242053. The reversal of 34242040 is 4024243.

It is a junction number, because it is equal to n+sod(n) for n = 34241999 and 34242017.

It is a congruent number.

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, 6012 + ... + 10228.

It is an arithmetic number, because the mean of its divisors is an integer number (1423575).

Almost surely, 234242040 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 34242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45554400).

34242040 is an abundant number, since it is smaller than the sum of its proper divisors (56866760).

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

34242040 is a wasteful number, since it uses less digits than its factorization.

34242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 34242040 is about 5851.6698471462. The cubic root of 34242040 is about 324.7281039553.

Adding to 34242040 its reverse (4024243), we get a palindrome (38266283).

The spelling of 34242040 in words is "thirty-four million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 4217 8120 8434 16868 21085 29519 33736 42170 59038 84340 118076 122293 147595 168680 236152 244586 295190 489172 590380 611465 856051 978344 1180760 1222930 1712102 2445860 3424204 4280255 4891720 6848408 8560510 17121020 34242040