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3452680 = 2357111959
BaseRepresentation
bin1101001010111100001000
320111102012001
431022330020
51340441210
6202000344
741230060
oct15127410
96442161
103452680
111a49060
1211a60b4
1393b70a
1465c3a0
1548303a
hex34af08

3452680 has 128 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1002240.

The previous prime is 3452671. The next prime is 3452689. The reversal of 3452680 is 862543.

3452680 = 273 + 283 + ... + 613.

It is an interprime number because it is at equal distance from previous prime (3452671) and next prime (3452689).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58491 + ... + 58549.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

Almost surely, 23452680 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 3452680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

3452680 is an abundant number, since it is smaller than the sum of its proper divisors (6915320).

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

3452680 is a wasteful number, since it uses less digits than its factorization.

3452680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3452680 is about 1858.1388537997. The cubic root of 3452680 is about 151.1420968433.

It can be divided in two parts, 345 and 2680, that added together give a square (3025 = 552).

The spelling of 3452680 in words is "three million, four hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 59 70 76 77 88 95 110 118 133 140 152 154 190 209 220 236 266 280 295 308 380 385 413 418 440 472 532 590 616 649 665 760 770 826 836 1045 1064 1121 1180 1298 1330 1463 1540 1652 1672 2065 2090 2242 2360 2596 2660 2926 3080 3245 3304 4130 4180 4484 4543 5192 5320 5605 5852 6490 7315 7847 8260 8360 8968 9086 11210 11704 12331 12980 14630 15694 16520 18172 22420 22715 24662 25960 29260 31388 36344 39235 44840 45430 49324 58520 61655 62776 78470 86317 90860 98648 123310 156940 172634 181720 246620 313880 345268 431585 493240 690536 863170 1726340 3452680