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34195896 = 23327193571
BaseRepresentation
bin1000001001110…
…0100110111000
32101100022221200
42002130212320
532223232041
63220534200
7563442330
oct202344670
971308850
1034195896
1118336979
12b551360
137113a77
1447820c0
1530071b6
hex209c9b8

34195896 has 96 divisors (see below), whose sum is σ = 111446400. Its totient is φ = 9253440.

The previous prime is 34195853. The next prime is 34195951. The reversal of 34195896 is 69859143.

It is a happy number.

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

It is a congruent number.

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, 7791 + ... + 11361.

It is an arithmetic number, because the mean of its divisors is an integer number (1160900).

Almost surely, 234195896 is an apocalyptic number.

34195896 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 34195896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55723200).

34195896 is an abundant number, since it is smaller than the sum of its proper divisors (77250504).

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

34195896 is a wasteful number, since it uses less digits than its factorization.

34195896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3602 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 34195896 is about 5847.7257117618. The cubic root of 34195896 is about 324.5821723313.

The spelling of 34195896 in words is "thirty-four million, one hundred ninety-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 3571 4788 7142 9576 10713 14284 21426 24997 28568 32139 42852 49994 64278 67849 74991 85704 99988 128556 135698 149982 199976 203547 224973 257112 271396 299964 407094 449946 474943 542792 599928 610641 814188 899892 949886 1221282 1424829 1628376 1799784 1899772 2442564 2849658 3799544 4274487 4885128 5699316 8548974 11398632 17097948 34195896