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71342784 = 2632294271
BaseRepresentation
bin1000100000010…
…01101011000000
311222020120220100
410100021223000
5121230432114
611025042400
71524255312
oct420115300
9158216810
1071342784
11372a8987
121ba86400
1311a1ba86
1496917b2
1563e3909
hex4409ac0

71342784 has 84 divisors (see below), whose sum is σ = 211592160. Its totient is φ = 22955520.

The previous prime is 71342759. The next prime is 71342801. The reversal of 71342784 is 48724317.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14569 + ... + 18839.

Almost surely, 271342784 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 71342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105796080).

71342784 is an abundant number, since it is smaller than the sum of its proper divisors (140249376).

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

71342784 is a wasteful number, since it uses less digits than its factorization.

71342784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4305 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 71342784 is about 8446.4657697761. The cubic root of 71342784 is about 414.7470932088.

The spelling of 71342784 in words is "seventy-one million, three hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 4271 5568 8352 8542 12813 16704 17084 25626 34168 38439 51252 68336 76878 102504 123859 136672 153756 205008 247718 273344 307512 371577 410016 495436 615024 743154 820032 990872 1114731 1230048 1486308 1981744 2229462 2460096 2972616 3963488 4458924 5945232 7926976 8917848 11890464 17835696 23780928 35671392 71342784