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34204640 = 255313683
BaseRepresentation
bin1000001001111…
…0101111100000
32101100202221112
42002132233200
532224022030
63221042452
7563506661
oct202365740
971322845
1034204640
11183424a8
12b556428
137117a42
144785368
153009a95
hex209ebe0

34204640 has 48 divisors (see below), whose sum is σ = 81185328. Its totient is φ = 13618176.

The previous prime is 34204631. The next prime is 34204649. The reversal of 34204640 is 4640243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34204631) and next prime (34204649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34204649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49739 + ... + 50421.

It is an arithmetic number, because the mean of its divisors is an integer number (1691361).

Almost surely, 234204640 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 34204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40592664).

34204640 is an abundant number, since it is smaller than the sum of its proper divisors (46980688).

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

34204640 is a wasteful number, since it uses less digits than its factorization.

34204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 34204640 is about 5848.4733050600. The cubic root of 34204640 is about 324.6098355402.

Adding to 34204640 its reverse (4640243), we get a palindrome (38844883).

The spelling of 34204640 in words is "thirty-four million, two hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 683 1252 1366 1565 2504 2732 3130 3415 5008 5464 6260 6830 10016 10928 12520 13660 21856 25040 27320 50080 54640 109280 213779 427558 855116 1068895 1710232 2137790 3420464 4275580 6840928 8551160 17102320 34204640