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34345680 = 2435143107
BaseRepresentation
bin1000001100000…
…1001011010000
32101121221102020
42003001023100
532243030210
63224051440
7564635115
oct203011320
971557366
1034345680
1118429466
12b603b80
137166cb5
1447c090c
153036770
hex20c12d0

34345680 has 40 divisors (see below), whose sum is σ = 106472352. Its totient is φ = 9158784.

The previous prime is 34345679. The next prime is 34345681. The reversal of 34345680 is 8654343.

It is an interprime number because it is at equal distance from previous prime (34345679) and next prime (34345681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345681) 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, 71314 + ... + 71793.

Almost surely, 234345680 is an apocalyptic number.

34345680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34345680 is an abundant number, since it is smaller than the sum of its proper divisors (72126672).

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

34345680 is a wasteful number, since it uses less digits than its factorization.

34345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143123 (or 143117 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 34345680 is about 5860.5187483703. The cubic root of 34345680 is about 325.0553909535.

The spelling of 34345680 in words is "thirty-four million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 143107 286214 429321 572428 715535 858642 1144856 1431070 1717284 2146605 2289712 2862140 3434568 4293210 5724280 6869136 8586420 11448560 17172840 34345680