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134434620 = 223352411033
BaseRepresentation
bin10000000001101…
…00111100111100
3100100221222122000
420000310330330
5233403401440
621201222300
73221450445
oct1000647474
9310858560
10134434620
11699807a1
1239031990
1321b0c118
1413bd62cc
15bc07730
hex8034f3c

134434620 has 96 divisors (see below), whose sum is σ = 420383040. Its totient is φ = 35665920.

The previous prime is 134434603. The next prime is 134434687. The reversal of 134434620 is 26434431.

134434620 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 34 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129624 + ... + 130656.

It is an arithmetic number, because the mean of its divisors is an integer number (4378990).

Almost surely, 2134434620 is an apocalyptic number.

134434620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134434620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210191520).

134434620 is an abundant number, since it is smaller than the sum of its proper divisors (285948420).

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

134434620 is a wasteful number, since it uses less digits than its factorization.

134434620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 134434620 is about 11594.5944301644. The cubic root of 134434620 is about 512.2756440154.

The spelling of 134434620 in words is "one hundred thirty-four million, four hundred thirty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 241 270 482 540 723 964 1033 1205 1446 2066 2169 2410 2892 3099 3615 4132 4338 4820 5165 6198 6507 7230 8676 9297 10330 10845 12396 13014 14460 15495 18594 20660 21690 26028 27891 30990 32535 37188 43380 46485 55782 61980 65070 92970 111564 130140 139455 185940 248953 278910 497906 557820 746859 995812 1244765 1493718 2240577 2489530 2987436 3734295 4481154 4979060 6721731 7468590 8962308 11202885 13443462 14937180 22405770 26886924 33608655 44811540 67217310 134434620