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3423240192 = 215397359
BaseRepresentation
bin1100110000001010…
…1000000000000000
322211120102121201210
43030002220000000
524002322141232
61323403530120
7150555030051
oct31402500000
98746377653
103423240192
1114a736a029
127b6529940
134272a2018
142468da728
151507e85cc
hexcc0a8000

3423240192 has 128 divisors (see below), whose sum is σ = 9248299200. Its totient is φ = 1126170624.

The previous prime is 3423240143. The next prime is 3423240199. The reversal of 3423240192 is 2910423243.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3423240199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9535309 + ... + 9535667.

Almost surely, 23423240192 is an apocalyptic number.

3423240192 is a gapful number since it is divisible by the number (32) 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 3423240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624149600).

3423240192 is an abundant number, since it is smaller than the sum of its proper divisors (5825059008).

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

3423240192 is an frugal number, since it uses more digits than its factorization.

3423240192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3423240192 is about 58508.4625673928. The cubic root of 3423240192 is about 1507.1129127786.

The spelling of 3423240192 in words is "three billion, four hundred twenty-three million, two hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 359 384 388 512 582 718 768 776 1024 1077 1164 1436 1536 1552 2048 2154 2328 2872 3072 3104 4096 4308 4656 5744 6144 6208 8192 8616 9312 11488 12288 12416 16384 17232 18624 22976 24576 24832 32768 34464 34823 37248 45952 49152 49664 68928 69646 74496 91904 98304 99328 104469 137856 139292 148992 183808 198656 208938 275712 278584 297984 367616 397312 417876 551424 557168 595968 735232 794624 835752 1102848 1114336 1191936 1470464 1589248 1671504 2205696 2228672 2383872 2940928 3178496 3343008 4411392 4457344 4767744 5881856 6686016 8822784 8914688 9535488 11763712 13372032 17645568 17829376 26744064 35291136 35658752 53488128 71317504 106976256 142635008 213952512 285270016 427905024 570540032 855810048 1141080064 1711620096 3423240192