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3712342830 = 2357233720773
BaseRepresentation
bin1101110101000101…
…1101101100101110
3100120201102112222220
43131101131230232
530100324432310
61412212220210
7160665251640
oct33521355456
910521375886
103712342830
111635580129
1287730a666
13472155981
14273074890
1516ada3670
hexdd45db2e

3712342830 has 128 divisors (see below), whose sum is σ = 10912831488. Its totient is φ = 789668352.

The previous prime is 3712342763. The next prime is 3712342847. The reversal of 3712342830 is 382432173.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3712342791 and 3712342800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168324 + ... + 189096.

It is an arithmetic number, because the mean of its divisors is an integer number (85256496).

Almost surely, 23712342830 is an apocalyptic number.

3712342830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3712342830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456415744).

3712342830 is an abundant number, since it is smaller than the sum of its proper divisors (7200488658).

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

3712342830 is a wasteful number, since it uses less digits than its factorization.

3712342830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20850.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3712342830 is about 60928.9982684764. The cubic root of 3712342830 is about 1548.3983219044.

The spelling of 3712342830 in words is "three billion, seven hundred twelve million, three hundred forty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 37 42 46 69 70 74 105 111 115 138 161 185 210 222 230 259 322 345 370 483 518 555 690 777 805 851 966 1110 1295 1554 1610 1702 2415 2553 2590 3885 4255 4830 5106 5957 7770 8510 11914 12765 17871 20773 25530 29785 35742 41546 59570 62319 89355 103865 124638 145411 178710 207730 290822 311595 436233 477779 623190 727055 768601 872466 955558 1433337 1454110 1537202 2181165 2305803 2388895 2866674 3344453 3843005 4362330 4611606 4777790 5380207 6688906 7166685 7686010 10033359 10760414 11529015 14333370 16140621 16722265 17677823 20066718 23058030 26901035 32281242 33444530 35355646 50166795 53033469 53802070 80703105 88389115 100333590 106066938 123744761 161406210 176778230 247489522 265167345 371234283 530334690 618723805 742468566 1237447610 1856171415 3712342830