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34153340 = 22513177727
BaseRepresentation
bin1000001001001…
…0001101111100
32101021011120112
42002102031330
532220401330
63220005152
7563204264
oct202221574
971234515
1034153340
1118307a01
12b5307b8
1370ca5a0
1447707a4
152ee9795
hex209237c

34153340 has 48 divisors (see below), whose sum is σ = 81793152. Its totient is φ = 11867136.

The previous prime is 34153313. The next prime is 34153363. The reversal of 34153340 is 4335143.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 557 + ... + 8283.

It is an arithmetic number, because the mean of its divisors is an integer number (1704024).

Almost surely, 234153340 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 34153340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40896576).

34153340 is an abundant number, since it is smaller than the sum of its proper divisors (47639812).

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

34153340 is a wasteful number, since it uses less digits than its factorization.

34153340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 34153340 is about 5844.0858994371. The cubic root of 34153340 is about 324.4474714416.

Adding to 34153340 its reverse (4335143), we get a palindrome (38488483).

The spelling of 34153340 in words is "thirty-four million, one hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 7727 15454 30908 38635 77270 100451 131359 154540 200902 262718 401804 502255 525436 656795 1004510 1313590 1707667 2009020 2627180 3415334 6830668 8538335 17076670 34153340