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34818240 = 263536269
BaseRepresentation
bin1000010011010…
…0100011000000
32102111221122110
42010310203000
532403140430
63242135320
7601643622
oct204644300
972457573
1034818240
1118721506
12b7b1540
1372a1112
1448a4c12
1530cb7b0
hex21348c0

34818240 has 56 divisors (see below), whose sum is σ = 110550960. Its totient is φ = 9284608.

The previous prime is 34818229. The next prime is 34818257. The reversal of 34818240 is 4281843.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34818198 and 34818207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17175 + ... + 19094.

Almost surely, 234818240 is an apocalyptic number.

34818240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34818240 is an abundant number, since it is smaller than the sum of its proper divisors (75732720).

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

34818240 is a wasteful number, since it uses less digits than its factorization.

34818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36289 (or 36279 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 34818240 is about 5900.6982637651. The cubic root of 34818240 is about 326.5394108428.

The spelling of 34818240 in words is "thirty-four million, eight hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 36269 72538 108807 145076 181345 217614 290152 362690 435228 544035 580304 725380 870456 1088070 1160608 1450760 1740912 2176140 2321216 2901520 3481824 4352280 5803040 6963648 8704560 11606080 17409120 34818240