Search a number
-
+
34285398 = 2372277421
BaseRepresentation
bin1000001011001…
…0011101010110
32101111212201120
42002302131112
532234113043
63222504410
7564264300
oct202623526
971455646
1034285398
1118398144
12b595106
137145724
1447a6970
153023983
hex20b2756

34285398 has 48 divisors (see below), whose sum is σ = 80244144. Its totient is φ = 9737280.

The previous prime is 34285393. The next prime is 34285417. The reversal of 34285398 is 89358243.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34285393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81228 + ... + 81648.

It is an arithmetic number, because the mean of its divisors is an integer number (1671753).

Almost surely, 234285398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34285398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40122072).

34285398 is an abundant number, since it is smaller than the sum of its proper divisors (45958746).

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

34285398 is a wasteful number, since it uses less digits than its factorization.

34285398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 710 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 34285398 is about 5855.3734295944. The cubic root of 34285398 is about 324.8651053595.

The spelling of 34285398 in words is "thirty-four million, two hundred eighty-five thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 277 294 421 554 831 842 1263 1662 1939 2526 2947 3878 5817 5894 8841 11634 13573 17682 20629 27146 40719 41258 61887 81438 116617 123774 233234 349851 699702 816319 1632638 2448957 4897914 5714233 11428466 17142699 34285398