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3426840432 = 24356114449
BaseRepresentation
bin1100110001000001…
…0110111101110000
322211211012112100000
43030100112331300
524004232343212
61324013030000
7150630443301
oct31420267560
98754175300
103426840432
1114a93a8a34
127b7785300
13427c62942
142471967a8
15150caa1dc
hexcc416f70

3426840432 has 120 divisors (see below), whose sum is σ = 10109335600. Its totient is φ = 1123476480.

The previous prime is 3426840407. The next prime is 3426840463. The reversal of 3426840432 is 2340486243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229944 + ... + 244392.

Almost surely, 23426840432 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 3426840432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054667800).

3426840432 is an abundant number, since it is smaller than the sum of its proper divisors (6682495168).

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

3426840432 is a wasteful number, since it uses less digits than its factorization.

3426840432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14533 (or 14515 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3426840432 is about 58539.2213135774. The cubic root of 3426840432 is about 1507.6410738995.

The spelling of 3426840432 in words is "three billion, four hundred twenty-six million, eight hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 243 244 324 366 432 486 488 549 648 732 972 976 1098 1296 1464 1647 1944 2196 2928 3294 3888 4392 4941 6588 8784 9882 13176 14449 14823 19764 26352 28898 29646 39528 43347 57796 59292 79056 86694 115592 118584 130041 173388 231184 237168 260082 346776 390123 520164 693552 780246 881389 1040328 1170369 1560492 1762778 2080656 2340738 2644167 3120984 3511107 3525556 4681476 5288334 6241968 7022214 7051112 7932501 9362952 10576668 14044428 14102224 15865002 18725904 21153336 23797503 28088856 31730004 42306672 47595006 56177712 63460008 71392509 95190012 126920016 142785018 190380024 214177527 285570036 380760048 428355054 571140072 856710108 1142280144 1713420216 3426840432