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134346744 = 233271491789
BaseRepresentation
bin10000000000111…
…11011111111000
3100100210112002100
420000133133320
5233343043434
621155303400
73220633320
oct1000373770
9310715070
10134346744
1169920774
1238baab60
1321aab11c
1413bb2280
15bbdb699
hex801f7f8

134346744 has 96 divisors (see below), whose sum is σ = 418860000. Its totient is φ = 38105856.

The previous prime is 134346661. The next prime is 134346757. The reversal of 134346744 is 447643431.

134346744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134346699 and 134346708.

It is a congruent number.

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, 74202 + ... + 75990.

It is an arithmetic number, because the mean of its divisors is an integer number (4363125).

Almost surely, 2134346744 is an apocalyptic number.

134346744 is a gapful number since it is divisible by the number (14) 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 134346744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209430000).

134346744 is an abundant number, since it is smaller than the sum of its proper divisors (284513256).

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

134346744 is a wasteful number, since it uses less digits than its factorization.

134346744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1950 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 134346744 is about 11590.8042861572. The cubic root of 134346744 is about 512.1639997907.

The spelling of 134346744 in words is "one hundred thirty-four million, three hundred forty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 149 168 252 298 447 504 596 894 1043 1192 1341 1788 1789 2086 2682 3129 3576 3578 4172 5364 5367 6258 7156 8344 9387 10728 10734 12516 12523 14312 16101 18774 21468 25032 25046 32202 37548 37569 42936 50092 64404 75096 75138 100184 112707 128808 150276 225414 266561 300552 450828 533122 799683 901656 1066244 1599366 1865927 2132488 2399049 3198732 3731854 4798098 5597781 6397464 7463708 9596196 11195562 14927416 16793343 19192392 22391124 33586686 44782248 67173372 134346744