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10834340 = 22511437
BaseRepresentation
bin101001010101…
…000110100100
3202101102220212
4221111012210
510233144330
61024114552
7161042666
oct51250644
922342825
1010834340
116130000
123765a58
13232456a
141620536
15e40295
hexa551a4

10834340 has 60 divisors (see below), whose sum is σ = 25703580. Its totient is φ = 3833280.

The previous prime is 10834339. The next prime is 10834361. The reversal of 10834340 is 4343801.

It can be written as a sum of positive squares in 2 ways, for example, as 7086244 + 3748096 = 2662^2 + 1936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292802 + ... + 292838.

It is an arithmetic number, because the mean of its divisors is an integer number (428393).

Almost surely, 210834340 is an apocalyptic number.

10834340 is a gapful number since it is divisible by the number (10) 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 10834340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12851790).

10834340 is an abundant number, since it is smaller than the sum of its proper divisors (14869240).

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

10834340 is an equidigital number, since it uses as much as digits as its factorization.

10834340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 10834340 is about 3291.5558631140. Note that the first 3 decimals coincide. The cubic root of 10834340 is about 221.2759191655.

The spelling of 10834340 in words is "ten million, eight hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1210 1331 1628 2035 2420 2662 4070 4477 5324 6655 8140 8954 13310 14641 17908 22385 26620 29282 44770 49247 58564 73205 89540 98494 146410 196988 246235 292820 492470 541717 984940 1083434 2166868 2708585 5417170 10834340