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34111320 = 2335284261
BaseRepresentation
bin1000001000011…
…1111101011000
32101012000221020
42002013331120
532213030240
63215042440
7562640625
oct202077530
971160836
1034111320
1118289381
12b510420
1370b4419
14475d34c
152edc0d0
hex2087f58

34111320 has 32 divisors (see below), whose sum is σ = 102334320. Its totient is φ = 9096320.

The previous prime is 34111309. The next prime is 34111339. The reversal of 34111320 is 2311143.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34111320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142011 + ... + 142250.

Almost surely, 234111320 is an apocalyptic number.

34111320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34111320 is an abundant number, since it is smaller than the sum of its proper divisors (68223000).

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

34111320 is a wasteful number, since it uses less digits than its factorization.

34111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284275 (or 284271 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 34111320 is about 5840.4897054956. The cubic root of 34111320 is about 324.3143572988.

Adding to 34111320 its reverse (2311143), we get a palindrome (36422463).

The spelling of 34111320 in words is "thirty-four million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 284261 568522 852783 1137044 1421305 1705566 2274088 2842610 3411132 4263915 5685220 6822264 8527830 11370440 17055660 34111320