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10434840 = 2335136689
BaseRepresentation
bin100111110011…
…100100011000
3201122010220120
4213303210120
510132403330
61011353240
7154460163
oct47634430
921563816
1010434840
115987939
1235b2820
132214780
141558ada
15db1c10
hex9f3918

10434840 has 64 divisors (see below), whose sum is σ = 33717600. Its totient is φ = 2568192.

The previous prime is 10434829. The next prime is 10434863. The reversal of 10434840 is 4843401.

10434840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10434840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785 + ... + 4904.

Almost surely, 210434840 is an apocalyptic number.

10434840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434840 is an abundant number, since it is smaller than the sum of its proper divisors (23282760).

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

10434840 is a wasteful number, since it uses less digits than its factorization.

10434840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 10434840 is about 3230.3002956382. The cubic root of 10434840 is about 218.5220493469.

The spelling of 10434840 in words is "ten million, four hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 6689 13378 20067 26756 33445 40134 53512 66890 80268 86957 100335 133780 160536 173914 200670 260871 267560 347828 401340 434785 521742 695656 802680 869570 1043484 1304355 1739140 2086968 2608710 3478280 5217420 10434840