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1020412344 = 2337371391181
BaseRepresentation
bin111100110100100…
…100000110111000
32122010002022120210
4330310210012320
54042211143334
6245130551120
734200235050
oct7464440670
92563068523
101020412344
11483aa5996
122458984a0
131335361b3
1499742560
155e8b45e9
hex3cd241b8

1020412344 has 128 divisors (see below), whose sum is σ = 3018355200. Its totient is φ = 281387520.

The previous prime is 1020412333. The next prime is 1020412373. The reversal of 1020412344 is 4432140201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1020412344.

It is a congruent number.

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, 863434 + ... + 864614.

It is an arithmetic number, because the mean of its divisors is an integer number (23580900).

Almost surely, 21020412344 is an apocalyptic number.

1020412344 is a gapful number since it is divisible by the number (14) 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 1020412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509177600).

1020412344 is an abundant number, since it is smaller than the sum of its proper divisors (1997942856).

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

1020412344 is a wasteful number, since it uses less digits than its factorization.

1020412344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1020412344 is about 31943.8936887788. The cubic root of 1020412344 is about 1006.7583366564.

Adding to 1020412344 its reverse (4432140201), we get a palindrome (5452552545).

The spelling of 1020412344 in words is "one billion, twenty million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 139 148 168 222 259 278 296 417 444 518 556 777 834 888 973 1036 1112 1181 1554 1668 1946 2072 2362 2919 3108 3336 3543 3892 4724 5143 5838 6216 7086 7784 8267 9448 10286 11676 14172 15429 16534 20572 23352 24801 28344 30858 33068 36001 41144 43697 49602 61716 66136 72002 87394 99204 108003 123432 131091 144004 164159 174788 198408 216006 262182 288008 305879 328318 349576 432012 492477 524364 611758 656636 864024 917637 984954 1048728 1149113 1223516 1313272 1835274 1969908 2298226 2447032 3447339 3670548 3939816 4596452 6073883 6894678 7341096 9192904 12147766 13789356 18221649 24295532 27578712 36443298 42517181 48591064 72886596 85034362 127551543 145773192 170068724 255103086 340137448 510206172 1020412344