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34990992 = 2432435651
BaseRepresentation
bin1000010101111…
…0101110010000
32102211201121200
42011132232100
532424202432
63245551200
7603263361
oct205365620
972751550
1034990992
111882a283
12b875500
13733193a
14490bb68
153112a7c
hex215eb90

34990992 has 60 divisors (see below), whose sum is σ = 100221264. Its totient is φ = 11390400.

The previous prime is 34990987. The next prime is 34990993. The reversal of 34990992 is 29909943.

It is a super-2 number, since 2×349909922 = 2448739042288128, which contains 22 as substring.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34990993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3367 + ... + 9017.

Almost surely, 234990992 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 34990992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50110632).

34990992 is an abundant number, since it is smaller than the sum of its proper divisors (65230272).

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

34990992 is a wasteful number, since it uses less digits than its factorization.

34990992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 34990992 is about 5915.3184191555. The cubic root of 34990992 is about 327.0785659774.

The spelling of 34990992 in words is "thirty-four million, nine hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 5651 6192 11302 16953 22604 33906 45208 50859 67812 90416 101718 135624 203436 242993 271248 406872 485986 728979 813744 971972 1457958 1943944 2186937 2915916 3887888 4373874 5831832 8747748 11663664 17495496 34990992