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34328640 = 263535759
BaseRepresentation
bin1000001011110…
…1000001000000
32101121002001010
42002331001000
532242004030
63223440520
7564534333
oct202750100
971532033
1034328640
1118417685
12b5b6140
13715c308
1447b861a
1530316b0
hex20bd040

34328640 has 56 divisors (see below), whose sum is σ = 108996480. Its totient is φ = 9154048.

The previous prime is 34328633. The next prime is 34328647. The reversal of 34328640 is 4682343.

It is an interprime number because it is at equal distance from previous prime (34328633) and next prime (34328647).

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 = 34328598 and 34328607.

It is not an unprimeable number, because it can be changed into a prime (34328647) 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, 16920 + ... + 18839.

Almost surely, 234328640 is an apocalyptic number.

34328640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34328640 is an abundant number, since it is smaller than the sum of its proper divisors (74667840).

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

34328640 is a wasteful number, since it uses less digits than its factorization.

34328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35779 (or 35769 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34328640 is about 5859.0647717874. The cubic root of 34328640 is about 325.0016252384.

The spelling of 34328640 in words is "thirty-four million, three hundred twenty-eight thousand, six 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 35759 71518 107277 143036 178795 214554 286072 357590 429108 536385 572144 715180 858216 1072770 1144288 1430360 1716432 2145540 2288576 2860720 3432864 4291080 5721440 6865728 8582160 11442880 17164320 34328640