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3412340320 = 25526979283
BaseRepresentation
bin1100101101100100…
…0010111001100000
322210210220211220211
43023121002321200
523442024342240
61322334143504
7150363262024
oct31331027140
98723824824
103412340320
1114a11a4874
127b2951b94
13424c569ac
142452a0384
1514e893bea
hexcb642e60

3412340320 has 48 divisors (see below), whose sum is σ = 8091725040. Its totient is φ = 1359844864.

The previous prime is 3412340311. The next prime is 3412340339. The reversal of 3412340320 is 230432143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3412340291 and 3412340300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3399 + ... + 82681.

It is an arithmetic number, because the mean of its divisors is an integer number (168577605).

Almost surely, 23412340320 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 3412340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045862520).

3412340320 is an abundant number, since it is smaller than the sum of its proper divisors (4679384720).

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

3412340320 is a wasteful number, since it uses less digits than its factorization.

3412340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79567 (or 79559 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3412340320 is about 58415.2404771221. The cubic root of 3412340320 is about 1505.5116224664.

Adding to 3412340320 its reverse (230432143), we get a palindrome (3642772463).

The spelling of 3412340320 in words is "three billion, four hundred twelve million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 269 538 1076 1345 2152 2690 4304 5380 8608 10760 21520 43040 79283 158566 317132 396415 634264 792830 1268528 1585660 2537056 3171320 6342640 12685280 21327127 42654254 85308508 106635635 170617016 213271270 341234032 426542540 682468064 853085080 1706170160 3412340320