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34091940 = 22353118329
BaseRepresentation
bin1000001000001…
…1001110100100
32101011001100110
42002003032210
532211420230
63214413020
7562530261
oct202031644
971131313
1034091940
1118275863
12b501170
1370a865c
144756268
152ed64b0
hex20833a4

34091940 has 48 divisors (see below), whose sum is σ = 98542080. Its totient is φ = 8797440.

The previous prime is 34091929. The next prime is 34091969. The reversal of 34091940 is 4919043.

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 = 34091898 and 34091907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7305 + ... + 11024.

It is an arithmetic number, because the mean of its divisors is an integer number (2052960).

Almost surely, 234091940 is an apocalyptic number.

34091940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34091940 is an abundant number, since it is smaller than the sum of its proper divisors (64450140).

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

34091940 is a wasteful number, since it uses less digits than its factorization.

34091940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18372 (or 18370 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 34091940 is about 5838.8303623243. The cubic root of 34091940 is about 324.2529270276.

The spelling of 34091940 in words is "thirty-four million, ninety-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 18329 36658 54987 73316 91645 109974 183290 219948 274935 366580 549870 568199 1099740 1136398 1704597 2272796 2840995 3409194 5681990 6818388 8522985 11363980 17045970 34091940