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134484416 = 2611172661
BaseRepresentation
bin10000000010000…
…01000111000000
3100101001111221022
420001001013000
5233412000131
621202245012
73222045563
oct1001010700
9311044838
10134484416
1169a05150
1239056768
1321b289a1
1413c0a4da
15bc1737b
hex80411c0

134484416 has 84 divisors (see below), whose sum is σ = 309728616. Its totient is φ = 57446400.

The previous prime is 134484407. The next prime is 134484419. The reversal of 134484416 is 614484431.

It is a super-2 number, since 2×1344844162 = 36172116293722112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134484419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203126 + ... + 203786.

Almost surely, 2134484416 is an apocalyptic number.

134484416 is a gapful number since it is divisible by the number (16) 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 134484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154864308).

134484416 is an abundant number, since it is smaller than the sum of its proper divisors (175244200).

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

134484416 is a wasteful number, since it uses less digits than its factorization.

134484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 691 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 134484416 is about 11596.7416113320. The cubic root of 134484416 is about 512.3388869732.

The spelling of 134484416 in words is "one hundred thirty-four million, four hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 289 352 374 544 578 661 704 748 1088 1156 1322 1496 2312 2644 2992 3179 4624 5288 5984 6358 7271 9248 10576 11237 11968 12716 14542 18496 21152 22474 25432 29084 42304 44948 50864 58168 89896 101728 116336 123607 179792 191029 203456 232672 247214 359584 382058 465344 494428 719168 764116 988856 1528232 1977712 2101319 3056464 3955424 4202638 6112928 7910848 8405276 12225856 16810552 33621104 67242208 134484416