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67434948 = 22327713769
BaseRepresentation
bin1000000010011…
…11100111000100
311200220001100200
410001033213010
5114230404243
610405210500
71446121230
oct401174704
9150801320
1067434948
1135079969
121a700a30
1310c81149
148d555c0
155dc0ad3
hex404f9c4

67434948 has 72 divisors (see below), whose sum is σ = 197608320. Its totient is φ = 18990720.

The previous prime is 67434907. The next prime is 67434959. The reversal of 67434948 is 84943476.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16008 + ... + 19776.

It is an arithmetic number, because the mean of its divisors is an integer number (2744560).

Almost surely, 267434948 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 67434948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98804160).

67434948 is an abundant number, since it is smaller than the sum of its proper divisors (130173372).

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

67434948 is a wasteful number, since it uses less digits than its factorization.

67434948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3852 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 67434948 is about 8211.8784696317. The cubic root of 67434948 is about 407.0318017115.

The spelling of 67434948 in words is "sixty-seven million, four hundred thirty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 3769 4473 5964 7538 8946 11307 15076 17892 22614 26383 33921 45228 52766 67842 79149 105532 135684 158298 237447 267599 316596 474894 535198 802797 949788 1070396 1605594 1873193 2408391 3211188 3746386 4816782 5619579 7492772 9633564 11239158 16858737 22478316 33717474 67434948