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34689840 = 2435144541
BaseRepresentation
bin1000010001010…
…1001100110000
32102021102111220
42010111030300
532340033330
63235305040
7600600363
oct204251460
972242456
1034689840
1118643a99
12b74b180
137257843
1448700da
1530a3710
hex2115330

34689840 has 40 divisors (see below), whose sum is σ = 107539248. Its totient is φ = 9250560.

The previous prime is 34689827. The next prime is 34689841. The reversal of 34689840 is 4898643.

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

It is a junction number, because it is equal to n+sod(n) for n = 34689792 and 34689801.

It is not an unprimeable number, because it can be changed into a prime (34689841) 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, 72031 + ... + 72510.

Almost surely, 234689840 is an apocalyptic number.

34689840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34689840 is an abundant number, since it is smaller than the sum of its proper divisors (72849408).

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

34689840 is a wasteful number, since it uses less digits than its factorization.

34689840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144557 (or 144551 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 34689840 is about 5889.8081462812. The cubic root of 34689840 is about 326.1375208623.

The spelling of 34689840 in words is "thirty-four million, six hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 144541 289082 433623 578164 722705 867246 1156328 1445410 1734492 2168115 2312656 2890820 3468984 4336230 5781640 6937968 8672460 11563280 17344920 34689840