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340429680 = 24325677057
BaseRepresentation
bin10100010010101…
…000101101110000
3212201120121201200
4110102220231300
51144122222210
653440331200
711302414233
oct2422505560
9781517650
10340429680
11165188948
1296013b00
13556b50a6
14332d941a
151ed480c0
hex144a8b70

340429680 has 120 divisors (see below), whose sum is σ = 1160504592. Its totient is φ = 89413632.

The previous prime is 340429673. The next prime is 340429681. The reversal of 340429680 is 86924043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340429681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44712 + ... + 51768.

Almost surely, 2340429680 is an apocalyptic number.

340429680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580252296).

340429680 is an abundant number, since it is smaller than the sum of its proper divisors (820074912).

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

340429680 is a wasteful number, since it uses less digits than its factorization.

340429680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7143 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 340429680 is about 18450.7365706630. The cubic root of 340429680 is about 698.2470971308.

The spelling of 340429680 in words is "three hundred forty million, four hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5360 6030 7057 8040 9648 12060 14114 16080 21171 24120 28228 35285 42342 48240 56456 63513 70570 84684 105855 112912 127026 141140 169368 211710 254052 282280 317565 338736 423420 472819 508104 564560 635130 846840 945638 1016208 1270260 1418457 1693680 1891276 2364095 2540520 2836914 3782552 4255371 4728190 5081040 5673828 7092285 7565104 8510742 9456380 11347656 14184570 17021484 18912760 21276855 22695312 28369140 34042968 37825520 42553710 56738280 68085936 85107420 113476560 170214840 340429680