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34688240 = 2453711719
BaseRepresentation
bin1000010001010…
…0110011110000
32102021100022122
42010110303300
532340010430
63235253412
7600562616
oct204246360
972240278
1034688240
1118642874
12b74a268
137256bb2
14486d6b6
1530a2ee5
hex2114cf0

34688240 has 40 divisors (see below), whose sum is σ = 82836960. Its totient is φ = 13499136.

The previous prime is 34688207. The next prime is 34688249. The reversal of 34688240 is 4288643.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 34688240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34688249) 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, 2900 + ... + 8819.

It is an arithmetic number, because the mean of its divisors is an integer number (2070924).

Almost surely, 234688240 is an apocalyptic number.

It is an amenable number.

34688240 is an abundant number, since it is smaller than the sum of its proper divisors (48148720).

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

34688240 is a wasteful number, since it uses less digits than its factorization.

34688240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11769 (or 11763 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 34688240 is about 5889.6723168611. The cubic root of 34688240 is about 326.1325066366.

The spelling of 34688240 in words is "thirty-four million, six hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 11719 23438 46876 58595 93752 117190 187504 234380 433603 468760 867206 937520 1734412 2168015 3468824 4336030 6937648 8672060 17344120 34688240