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3429240 = 233517412
BaseRepresentation
bin1101000101001101111000
320110020000220
431011031320
51334213430
6201300040
741101533
oct15051570
96406026
103429240
111a32491
121194620
13930b49
14653a1a
1547b110
hex345378

3429240 has 96 divisors (see below), whose sum is σ = 11165040. Its totient is φ = 839680.

The previous prime is 3429203. The next prime is 3429287. The reversal of 3429240 is 429243.

It is a happy number.

3429240 is digitally balanced in base 2, 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3429240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83620 + ... + 83660.

Almost surely, 23429240 is an apocalyptic number.

3429240 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 3429240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582520).

3429240 is an abundant number, since it is smaller than the sum of its proper divisors (7735800).

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

3429240 is a wasteful number, since it uses less digits than its factorization.

3429240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3429240 is about 1851.8207256643. The cubic root of 3429240 is about 150.7992889055.

The spelling of 3429240 in words is "three million, four hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 41 51 60 68 82 85 102 120 123 136 164 170 204 205 246 255 328 340 408 410 492 510 615 680 697 820 984 1020 1230 1394 1640 1681 2040 2091 2460 2788 3362 3485 4182 4920 5043 5576 6724 6970 8364 8405 10086 10455 13448 13940 16728 16810 20172 20910 25215 27880 28577 33620 40344 41820 50430 57154 67240 83640 85731 100860 114308 142885 171462 201720 228616 285770 342924 428655 571540 685848 857310 1143080 1714620 3429240