Search a number
-
+
34520040 = 2333531963
BaseRepresentation
bin1000001110101…
…1101111101000
32101221210121000
42003223233220
532314120130
63231515000
7566262342
oct203535750
971853530
1034520040
1118538465
12b688a60
1371c8479
144828292
15306d260
hex20ebbe8

34520040 has 64 divisors (see below), whose sum is σ = 115070400. Its totient is φ = 9205056.

The previous prime is 34520039. The next prime is 34520041. The reversal of 34520040 is 4002543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34520039) and next prime (34520041).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34519995 and 34520022.

It is not an unprimeable number, because it can be changed into a prime (34520041) 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, 14902 + ... + 17061.

It is an arithmetic number, because the mean of its divisors is an integer number (1797975).

Almost surely, 234520040 is an apocalyptic number.

34520040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34520040 is an abundant number, since it is smaller than the sum of its proper divisors (80550360).

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

34520040 is a wasteful number, since it uses less digits than its factorization.

34520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31983 (or 31973 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34520040 is about 5875.3757326660. The cubic root of 34520040 is about 325.6045237596.

Adding to 34520040 its reverse (4002543), we get a palindrome (38522583).

The spelling of 34520040 in words is "thirty-four million, five hundred twenty 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 90 108 120 135 180 216 270 360 540 1080 31963 63926 95889 127852 159815 191778 255704 287667 319630 383556 479445 575334 639260 767112 863001 958890 1150668 1278520 1438335 1726002 1917780 2301336 2876670 3452004 3835560 4315005 5753340 6904008 8630010 11506680 17260020 34520040