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BaseRepresentation
bin1000010100010…
…1100100111100
32102122111100000
42011011210330
532412403441
63243434300
7602354163
oct205054474
972574300
1034887996
1118769960
12b825990
1372c6ab0
1448c23da
1530e22b6
hex214593c

34887996 has 144 divisors (see below), whose sum is σ = 107872128. Its totient is φ = 9720000.

The previous prime is 34887991. The next prime is 34888001. The reversal of 34887996 is 69978843.

34887996 is a `hidden beast` number, since 3 + 488 + 79 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (34887991) and next prime (34888001).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34887991) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 138871 + ... + 139121.

It is an arithmetic number, because the mean of its divisors is an integer number (749112).

Almost surely, 234887996 is an apocalyptic number.

34887996 is a gapful number since it is divisible by the number (36) 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 34887996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53936064).

34887996 is an abundant number, since it is smaller than the sum of its proper divisors (72984132).

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

34887996 is a wasteful number, since it uses less digits than its factorization.

34887996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 34887996 is about 5906.6061321202. The cubic root of 34887996 is about 326.7573319535.

The spelling of 34887996 in words is "thirty-four million, eight hundred eighty-seven thousand, nine hundred ninety-six".