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34430540 = 2252329289
BaseRepresentation
bin1000001101010…
…1111001001100
32101210020211012
42003111321030
532303234130
63225544352
7565440404
oct203257114
971706735
1034430540
11184871a1
12b6450b8
137196801
144803804
153051995
hex20d5e4c

34430540 has 72 divisors (see below), whose sum is σ = 79017120. Its totient is φ = 12576256.

The previous prime is 34430533. The next prime is 34430587. The reversal of 34430540 is 4503443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386816 + ... + 386904.

It is an arithmetic number, because the mean of its divisors is an integer number (1097460).

Almost surely, 234430540 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 34430540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39508560).

34430540 is an abundant number, since it is smaller than the sum of its proper divisors (44586580).

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

34430540 is a wasteful number, since it uses less digits than its factorization.

34430540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 34430540 is about 5867.7542552496. The cubic root of 34430540 is about 325.3228822712.

Adding to 34430540 its reverse (4503443), we get a palindrome (38933983).

The spelling of 34430540 in words is "thirty-four million, four hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 89 92 115 116 145 178 230 290 356 445 460 580 667 841 890 1334 1682 1780 2047 2581 2668 3335 3364 4094 4205 5162 6670 8188 8410 10235 10324 12905 13340 16820 19343 20470 25810 38686 40940 51620 59363 74849 77372 96715 118726 149698 193430 237452 296815 299396 374245 386860 593630 748490 1187260 1496980 1721527 3443054 6886108 8607635 17215270 34430540