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1003848340 = 2251123296841
BaseRepresentation
bin111011110101011…
…000001010010100
32120221220210001011
4323311120022110
54023441121330
6243335542004
733606366355
oct7365301224
92527823034
101003848340
11475712130
1224022a904
1312cc86a01
149746dd2c
155d1e182a
hex3bd58294

1003848340 has 96 divisors (see below), whose sum is σ = 2482824960. Its totient is φ = 337075200.

The previous prime is 1003848319. The next prime is 1003848341. The reversal of 1003848340 is 438483001.

1003848340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10038483402 = 2015422979441511200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003848341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143320 + ... + 150160.

It is an arithmetic number, because the mean of its divisors is an integer number (25862760).

Almost surely, 21003848340 is an apocalyptic number.

1003848340 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 1003848340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241412480).

1003848340 is an abundant number, since it is smaller than the sum of its proper divisors (1478976620).

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

1003848340 is a wasteful number, since it uses less digits than its factorization.

1003848340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6911 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1003848340 is about 31683.5657715479. The cubic root of 1003848340 is about 1001.2811379845.

The spelling of 1003848340 in words is "one billion, three million, eight hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 2530 2668 3190 3335 5060 6380 6670 6841 7337 13340 13682 14674 27364 29348 34205 36685 68410 73370 75251 136820 146740 150502 157343 198389 301004 314686 376255 396778 629372 752510 786715 793556 991945 1505020 1573430 1730773 1983890 2182279 3146860 3461546 3967780 4364558 4562947 6923092 8653865 8729116 9125894 10911395 17307730 18251788 21822790 22814735 34615460 43645580 45629470 50192417 91258940 100384834 200769668 250962085 501924170 1003848340