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34486320 = 24351113063
BaseRepresentation
bin1000001110001…
…1100000110000
32101220002100010
42003203200300
532312030240
63231054520
7566062131
oct203434060
971802303
1034486320
11185150a0
12b671440
1371b600b
144819c88
153063280
hex20e3830

34486320 has 80 divisors (see below), whose sum is σ = 116635392. Its totient is φ = 8359680.

The previous prime is 34486303. The next prime is 34486321. The reversal of 34486320 is 2368443.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (34486321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3892 + ... + 9171.

Almost surely, 234486320 is an apocalyptic number.

34486320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34486320 is an abundant number, since it is smaller than the sum of its proper divisors (82149072).

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

34486320 is a wasteful number, since it uses less digits than its factorization.

34486320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090 (or 13084 counting only the distinct ones).

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

The square root of 34486320 is about 5872.5054278391. The cubic root of 34486320 is about 325.4984697935.

The spelling of 34486320 in words is "thirty-four million, four hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 13063 26126 39189 52252 65315 78378 104504 130630 143693 156756 195945 209008 261260 287386 313512 391890 431079 522520 574772 627024 718465 783780 862158 1045040 1149544 1436930 1567560 1724316 2155395 2299088 2873860 3135120 3448632 4310790 5747720 6897264 8621580 11495440 17243160 34486320