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10434952 = 231119792
BaseRepresentation
bin100111110011…
…100110001000
3201122011001201
4213303212020
510132404302
61011353544
7154460413
oct47634610
921564051
1010434952
115987a30
1235b28b4
132214838
141558b7a
15db1c87
hex9f3988

10434952 has 48 divisors (see below), whose sum is σ = 22755600. Its totient is φ = 4436640.

The previous prime is 10434947. The next prime is 10434953. The reversal of 10434952 is 25943401.

10434952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10434952.

It is not an unprimeable number, because it can be changed into a prime (10434953) 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, 132049 + ... + 132127.

It is an arithmetic number, because the mean of its divisors is an integer number (474075).

Almost surely, 210434952 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 10434952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11377800).

10434952 is an abundant number, since it is smaller than the sum of its proper divisors (12320648).

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

10434952 is a wasteful number, since it uses less digits than its factorization.

10434952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 10434952 is about 3230.3176314412. The cubic root of 10434952 is about 218.5228311632.

It can be divided in two parts, 104349 and 52, that added together give a palindrome (104401).

The spelling of 10434952 in words is "ten million, four hundred thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 79 88 152 158 209 316 418 632 836 869 1501 1672 1738 3002 3476 6004 6241 6952 12008 12482 16511 24964 33022 49928 66044 68651 118579 132088 137302 237158 274604 474316 549208 948632 1304369 2608738 5217476 10434952