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103342030440 = 233511673116329
BaseRepresentation
bin110000000111110101…
…0100011111001101000
3100212202002021002010220
41200033222203321220
53143121024433230
6115250310210040
710315624523325
oct1401752437150
9325662232126
10103342030440
113a910978030
1218041053920
13998c01984c
145004c5bb4c
152a4c840d10
hex180faa3e68

103342030440 has 128 divisors (see below), whose sum is σ = 338715734400. Its totient is φ = 25015173120.

The previous prime is 103342030387. The next prime is 103342030511. The reversal of 103342030440 is 44030243301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103342030440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830196 + ... + 946524.

It is an arithmetic number, because the mean of its divisors is an integer number (2646216675).

Almost surely, 2103342030440 is an apocalyptic number.

103342030440 is a gapful number since it is divisible by the number (10) 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 103342030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169357867200).

103342030440 is an abundant number, since it is smaller than the sum of its proper divisors (235373703960).

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

103342030440 is a wasteful number, since it uses less digits than its factorization.

103342030440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117027 (or 117023 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 103342030440 its reverse (44030243301), we get a palindrome (147372273741).

The spelling of 103342030440 in words is "one hundred three billion, three hundred forty-two million, thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 673 1320 1346 2019 2692 3365 4038 5384 6730 7403 8076 10095 13460 14806 16152 20190 22209 26920 29612 37015 40380 44418 59224 74030 80760 88836 111045 116329 148060 177672 222090 232658 296120 348987 444180 465316 581645 697974 888360 930632 1163290 1279619 1395948 1744935 2326580 2559238 2791896 3489870 3838857 4653160 5118476 6398095 6979740 7677714 10236952 12796190 13959480 15355428 19194285 25592380 30710856 38388570 51184760 76777140 78289417 153554280 156578834 234868251 313157668 391447085 469736502 626315336 782894170 861183587 939473004 1174341255 1565788340 1722367174 1878946008 2348682510 2583550761 3131576680 3444734348 4305917935 4697365020 5167101522 6889468696 8611835870 9394730040 10334203044 12917753805 17223671740 20668406088 25835507610 34447343480 51671015220 103342030440