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67114332 = 2234359577
BaseRepresentation
bin1000000000000…
…01010101011100
311200021202120000
410000001111130
5114140124312
610354254300
71443314415
oct400012534
9150252500
1067114332
113497aa9a
121a587390
1310b9b22c
148cb080c
155d5aadc
hex400155c

67114332 has 60 divisors (see below), whose sum is σ = 176243760. Its totient is φ = 22270464.

The previous prime is 67114309. The next prime is 67114339. The reversal of 67114332 is 23341176.

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 = 67114296 and 67114305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67114339) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116028 + ... + 116604.

It is an arithmetic number, because the mean of its divisors is an integer number (2937396).

Almost surely, 267114332 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 67114332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88121880).

67114332 is an abundant number, since it is smaller than the sum of its proper divisors (109129428).

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

67114332 is a wasteful number, since it uses less digits than its factorization.

67114332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 941 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 67114332 is about 8192.3337334364. Note that the first 3 decimals coincide. The cubic root of 67114332 is about 406.3857060791.

The spelling of 67114332 in words is "sixty-seven million, one hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 359 577 718 1077 1154 1436 1731 2154 2308 3231 3462 4308 5193 6462 6924 9693 10386 12924 15579 19386 20772 29079 31158 38772 46737 58158 62316 93474 116316 186948 207143 414286 621429 828572 1242858 1864287 2485716 3728574 5592861 7457148 11185722 16778583 22371444 33557166 67114332