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3424680 = 233457151
BaseRepresentation
bin1101000100000110101000
320102222210000
431010012220
51334042210
6201223000
741052330
oct15040650
96388700
103424680
111a2a016
121191a60
1392ba4c
146520c0
15479ac0
hex3441a8

3424680 has 160 divisors (see below), whose sum is σ = 13242240. Its totient is φ = 777600.

The previous prime is 3424679. The next prime is 3424699. The reversal of 3424680 is 864243.

3424680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22605 + ... + 22755.

It is an arithmetic number, because the mean of its divisors is an integer number (82764).

Almost surely, 23424680 is an apocalyptic number.

3424680 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 3424680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621120).

3424680 is an abundant number, since it is smaller than the sum of its proper divisors (9817560).

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

3424680 is a wasteful number, since it uses less digits than its factorization.

3424680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3424680 is about 1850.5890953964. The cubic root of 3424680 is about 150.7324179391.

The spelling of 3424680 in words is "three million, four hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 151 162 168 180 189 210 216 252 270 280 302 315 324 360 378 405 420 453 504 540 567 604 630 648 755 756 810 840 906 945 1057 1080 1134 1208 1260 1359 1510 1512 1620 1812 1890 2114 2265 2268 2520 2718 2835 3020 3171 3240 3624 3780 4077 4228 4530 4536 5285 5436 5670 6040 6342 6795 7560 8154 8456 9060 9513 10570 10872 11340 12231 12684 13590 15855 16308 18120 19026 20385 21140 22680 24462 25368 27180 28539 31710 32616 38052 40770 42280 47565 48924 54360 57078 61155 63420 76104 81540 85617 95130 97848 114156 122310 126840 142695 163080 171234 190260 228312 244620 285390 342468 380520 428085 489240 570780 684936 856170 1141560 1712340 3424680