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3434420192 = 257214711489
BaseRepresentation
bin1100110010110101…
…0001011111100000
322212100110121210212
43030231101133200
524013202421232
61324443313252
7151052042600
oct31455213740
98770417725
103434420192
1115027057a5
127ba21b828
134296b79c8
142481aac00
151517a5eb2
hexccb517e0

3434420192 has 72 divisors (see below), whose sum is σ = 7876068480. Its totient is φ = 1469905920.

The previous prime is 3434420177. The next prime is 3434420251. The reversal of 3434420192 is 2910244343.

3434420192 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2305784 + ... + 2307272.

It is an arithmetic number, because the mean of its divisors is an integer number (109389840).

Almost surely, 23434420192 is an apocalyptic number.

3434420192 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 3434420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938034240).

3434420192 is an abundant number, since it is smaller than the sum of its proper divisors (4441648288).

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

3434420192 is a wasteful number, since it uses less digits than its factorization.

3434420192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 3434420192 is about 58603.9264213585. The cubic root of 3434420192 is about 1508.7518290892.

The spelling of 3434420192 in words is "three billion, four hundred thirty-four million, four hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1471 1489 1568 2942 2978 5884 5956 10297 10423 11768 11912 20594 20846 23536 23824 41188 41692 47072 47648 72079 72961 82376 83384 144158 145922 164752 166768 288316 291844 329504 333536 576632 583688 1153264 1167376 2190319 2306528 2334752 4380638 8761276 15332233 17522552 30664466 35045104 61328932 70090208 107325631 122657864 214651262 245315728 429302524 490631456 858605048 1717210096 3434420192