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34574040 = 233553557
BaseRepresentation
bin1000001111100…
…0111011011000
32102001112200000
42003320323120
532322332130
63233013000
7566605644
oct203707330
972045600
1034574040
1118574a96
12b6b4160
137216c17
14483dc24
15307e260
hex20f8ed8

34574040 has 96 divisors (see below), whose sum is σ = 116560080. Its totient is φ = 9217152.

The previous prime is 34574027. The next prime is 34574047. The reversal of 34574040 is 4047543.

34574040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34573995 and 34574013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34574047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7942 + ... + 11498.

Almost surely, 234574040 is an apocalyptic number.

34574040 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 34574040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58280040).

34574040 is an abundant number, since it is smaller than the sum of its proper divisors (81986040).

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

34574040 is a wasteful number, since it uses less digits than its factorization.

34574040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34574040 is about 5879.9693876754. The cubic root of 34574040 is about 325.7742173059.

The spelling of 34574040 in words is "thirty-four million, five hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 3557 4860 7114 9720 10671 14228 17785 21342 28456 32013 35570 42684 53355 64026 71140 85368 96039 106710 128052 142280 160065 192078 213420 256104 288117 320130 384156 426840 480195 576234 640260 768312 864351 960390 1152468 1280520 1440585 1728702 1920780 2304936 2881170 3457404 3841560 4321755 5762340 6914808 8643510 11524680 17287020 34574040