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34465240 = 23519101449
BaseRepresentation
bin1000001101111…
…0010111011000
32101212000102101
42003132113120
532310341430
63230413144
7565643515
oct203362730
971760371
1034465240
1118500277
12b6611b4
1371a9544
14481230c
15305bdca
hex20de5d8

34465240 has 64 divisors (see below), whose sum is σ = 82620000. Its totient is φ = 12902400.

The previous prime is 34465237. The next prime is 34465261. The reversal of 34465240 is 4256443.

34465240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34465199 and 34465208.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76536 + ... + 76984.

Almost surely, 234465240 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 34465240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41310000).

34465240 is an abundant number, since it is smaller than the sum of its proper divisors (48154760).

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

34465240 is a wasteful number, since it uses less digits than its factorization.

34465240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 34465240 is about 5870.7103488420. The cubic root of 34465240 is about 325.4321352173.

The spelling of 34465240 in words is "thirty-four million, four hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 101 152 190 202 380 404 449 505 760 808 898 1010 1796 1919 2020 2245 3592 3838 4040 4490 7676 8531 8980 9595 15352 17062 17960 19190 34124 38380 42655 45349 68248 76760 85310 90698 170620 181396 226745 341240 362792 453490 861631 906980 1723262 1813960 3446524 4308155 6893048 8616310 17232620 34465240