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34949460 = 223571337173
BaseRepresentation
bin1000010101010…
…0100101010100
32102202121122110
42011110211110
532421340320
63245031020
7603031320
oct205244524
972677573
1034949460
1118801057
12b855470
137318a70
1448da980
1531055e0
hex2154954

34949460 has 192 divisors, whose sum is σ = 124411392. Its totient is φ = 7133184.

The previous prime is 34949449. The next prime is 34949477. The reversal of 34949460 is 6494943.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201934 + ... + 202106.

It is an arithmetic number, because the mean of its divisors is an integer number (647976).

Almost surely, 234949460 is an apocalyptic number.

34949460 is a gapful number since it is divisible by the number (30) 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 34949460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62205696).

34949460 is an abundant number, since it is smaller than the sum of its proper divisors (89461932).

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

34949460 is a wasteful number, since it uses less digits than its factorization.

34949460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 34949460 is about 5911.8068304030. The cubic root of 34949460 is about 326.9491078483.

The spelling of 34949460 in words is "thirty-four million, nine hundred forty-nine thousand, four hundred sixty".