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10734408 = 2332295397
BaseRepresentation
bin101000111100…
…101101001000
3202012100211200
4220330231020
510222000113
61022024200
7160145436
oct50745510
922170750
1010734408
116071a13
123718060
1322bac29
1415d5d56
15e20873
hexa3cb48

10734408 has 96 divisors (see below), whose sum is σ = 30958200. Its totient is φ = 3354624.

The previous prime is 10734397. The next prime is 10734433. The reversal of 10734408 is 80443701.

It can be written as a sum of positive squares in 4 ways, for example, as 9847044 + 887364 = 3138^2 + 942^2 .

It is a super-2 number, since 2×107344082 = 230455030220928, which contains 22 as substring.

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, 110616 + ... + 110712.

Almost surely, 210734408 is an apocalyptic number.

10734408 is a gapful number since it is divisible by the number (18) 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 10734408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479100).

10734408 is an abundant number, since it is smaller than the sum of its proper divisors (20223792).

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

10734408 is a wasteful number, since it uses less digits than its factorization.

10734408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10734408 is about 3276.3406416305. The cubic root of 10734408 is about 220.5934939107.

The spelling of 10734408 in words is "ten million, seven hundred thirty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 53 58 72 87 97 106 116 159 174 194 212 232 261 291 318 348 388 424 477 522 582 636 696 776 873 954 1044 1164 1272 1537 1746 1908 2088 2328 2813 3074 3492 3816 4611 5141 5626 6148 6984 8439 9222 10282 11252 12296 13833 15423 16878 18444 20564 22504 25317 27666 30846 33756 36888 41128 46269 50634 55332 61692 67512 92538 101268 110664 123384 149089 185076 202536 298178 370152 447267 596356 894534 1192712 1341801 1789068 2683602 3578136 5367204 10734408