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34484130 = 235523617
BaseRepresentation
bin1000001110001…
…0111110100010
32101212222100000
42003202332202
532311443010
63231040430
7566052552
oct203427642
971788300
1034484130
111851348a
12b670116
1371b5015
144819162
1530627c0
hex20e2fa2

34484130 has 96 divisors (see below), whose sum is σ = 97179264. Its totient is φ = 8781696.

The previous prime is 34484129. The next prime is 34484147. The reversal of 34484130 is 3148443.

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 = 34484094 and 34484103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55582 + ... + 56198.

It is an arithmetic number, because the mean of its divisors is an integer number (1012284).

Almost surely, 234484130 is an apocalyptic number.

34484130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34484130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48589632).

34484130 is an abundant number, since it is smaller than the sum of its proper divisors (62695134).

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

34484130 is a wasteful number, since it uses less digits than its factorization.

34484130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34484130 is about 5872.3189627267. The cubic root of 34484130 is about 325.4915795566.

The spelling of 34484130 in words is "thirty-four million, four hundred eighty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 243 270 345 405 414 486 617 621 690 810 1035 1215 1234 1242 1851 1863 2070 2430 3085 3105 3702 3726 5553 5589 6170 6210 9255 9315 11106 11178 14191 16659 18510 18630 27765 27945 28382 33318 42573 49977 55530 55890 70955 83295 85146 99954 127719 141910 149931 166590 212865 249885 255438 299862 383157 425730 499770 638595 749655 766314 1149471 1277190 1499310 1915785 2298942 3448413 3831570 5747355 6896826 11494710 17242065 34484130