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3103440240 = 243519739323
BaseRepresentation
bin1011100011111010…
…1011110101110000
322000021200002200010
42320332223311300
522323440041430
61231541254520
7136622543505
oct27076536560
98007602603
103103440240
1113528a164a
12727404440
133a5c60b94
142162514ac
151326c7cb0
hexb8fabd70

3103440240 has 160 divisors (see below), whose sum is σ = 10266842880. Its totient is φ = 773203968.

The previous prime is 3103440233. The next prime is 3103440269. The reversal of 3103440240 is 420443013.

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 31 ways as a sum of consecutive naturals, for example, 328219 + ... + 337541.

It is an arithmetic number, because the mean of its divisors is an integer number (64167768).

Almost surely, 23103440240 is an apocalyptic number.

3103440240 is a gapful number since it is divisible by the number (30) 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 3103440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133421440).

3103440240 is an abundant number, since it is smaller than the sum of its proper divisors (7163402640).

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

3103440240 is a wasteful number, since it uses less digits than its factorization.

3103440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9431 (or 9425 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3103440240 is about 55708.5293289995. The cubic root of 3103440240 is about 1458.6389141697.

Adding to 3103440240 its reverse (420443013), we get a palindrome (3523883253).

The spelling of 3103440240 in words is "three billion, one hundred three million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 73 76 80 95 114 120 146 152 190 219 228 240 285 292 304 365 380 438 456 570 584 730 760 876 912 1095 1140 1168 1387 1460 1520 1752 2190 2280 2774 2920 3504 4161 4380 4560 5548 5840 6935 8322 8760 9323 11096 13870 16644 17520 18646 20805 22192 27740 27969 33288 37292 41610 46615 55480 55938 66576 74584 83220 93230 110960 111876 139845 149168 166440 177137 186460 223752 279690 332880 354274 372920 447504 531411 559380 680579 708548 745840 885685 1062822 1118760 1361158 1417096 1771370 2041737 2125644 2237520 2657055 2722316 2834192 3402895 3542740 4083474 4251288 5314110 5444632 6805790 7085480 8166948 8502576 10208685 10628220 10889264 12931001 13611580 14170960 16333896 20417370 21256440 25862002 27223160 32667792 38793003 40834740 42512880 51724004 54446320 64655005 77586006 81669480 103448008 129310010 155172012 163338960 193965015 206896016 258620020 310344024 387930030 517240040 620688048 775860060 1034480080 1551720120 3103440240