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3234080 = 255172941
BaseRepresentation
bin1100010101100100100000
320002022022202
430111210200
51311442310
6153152332
736326543
oct14254440
96068282
103234080
1119098a3
1210bb6a8
13893075
1460285a
1543d3a5
hex315920

3234080 has 96 divisors (see below), whose sum is σ = 8573040. Its totient is φ = 1146880.

The previous prime is 3234079. The next prime is 3234103. The reversal of 3234080 is 804323.

It can be written as a sum of positive squares in 8 ways, for example, as 1008016 + 2226064 = 1004^2 + 1492^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 78860 + ... + 78900.

Almost surely, 23234080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286520).

3234080 is an abundant number, since it is smaller than the sum of its proper divisors (5338960).

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

3234080 is a wasteful number, since it uses less digits than its factorization.

3234080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3234080 is about 1798.3548037025. The cubic root of 3234080 is about 147.8825462087.

The spelling of 3234080 in words is "three million, two hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 41 58 68 80 82 85 116 136 145 160 164 170 205 232 272 290 328 340 410 464 493 544 580 656 680 697 820 928 986 1160 1189 1312 1360 1394 1640 1972 2320 2378 2465 2720 2788 3280 3485 3944 4640 4756 4930 5576 5945 6560 6970 7888 9512 9860 11152 11890 13940 15776 19024 19720 20213 22304 23780 27880 38048 39440 40426 47560 55760 78880 80852 95120 101065 111520 161704 190240 202130 323408 404260 646816 808520 1617040 3234080