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34147980 = 22345107197
BaseRepresentation
bin1000001001000…
…0111010001100
32101020220020000
42002100322030
532220213410
63215524300
7563152536
oct202207214
971226200
1034147980
1118303979
12b529690
1370c8009
14476c856
152ee7dc0
hex2090e8c

34147980 has 120 divisors (see below), whose sum is σ = 108673488. Its totient is φ = 8975232.

The previous prime is 34147979. The next prime is 34148017. The reversal of 34147980 is 8974143.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173242 + ... + 173438.

Almost surely, 234147980 is an apocalyptic number.

34147980 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 34147980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54336744).

34147980 is an abundant number, since it is smaller than the sum of its proper divisors (74525508).

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

34147980 is a wasteful number, since it uses less digits than its factorization.

34147980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 34147980 is about 5843.6272981770. The cubic root of 34147980 is about 324.4304977047.

The spelling of 34147980 in words is "thirty-four million, one hundred forty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 197 214 270 321 324 394 405 428 535 540 591 642 788 810 963 985 1070 1182 1284 1605 1620 1773 1926 1970 2140 2364 2889 2955 3210 3546 3852 3940 4815 5319 5778 5910 6420 7092 8667 8865 9630 10638 11556 11820 14445 15957 17334 17730 19260 21079 21276 26595 28890 31914 34668 35460 42158 43335 53190 57780 63237 63828 79785 84316 86670 105395 106380 126474 159570 173340 189711 210790 252948 316185 319140 379422 421580 569133 632370 758844 948555 1138266 1264740 1707399 1897110 2276532 2845665 3414798 3794220 5691330 6829596 8536995 11382660 17073990 34147980