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1076444430 = 235196183373
BaseRepresentation
bin100000000101001…
…0011110100001110
32210000112001011020
41000022103310032
54201032210210
6254451535010
735450424645
oct10012236416
92700461136
101076444430
115026966a6
122605ba466
13142024089
14a2d6a35c
1564781770
hex40293d0e

1076444430 has 128 divisors (see below), whose sum is σ = 2804820480. Its totient is φ = 263554560.

The previous prime is 1076444429. The next prime is 1076444443. The reversal of 1076444430 is 344446701.

It is a super-2 number, since 2×10764444302 = 2317465221756049800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1076444391 and 1076444400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2885724 + ... + 2886096.

It is an arithmetic number, because the mean of its divisors is an integer number (21912660).

Almost surely, 21076444430 is an apocalyptic number.

1076444430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076444430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402410240).

1076444430 is an abundant number, since it is smaller than the sum of its proper divisors (1728376050).

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

1076444430 is a wasteful number, since it uses less digits than its factorization.

1076444430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546.

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 1076444430 is about 32809.2125781769. The cubic root of 1076444430 is about 1024.8584155022.

The spelling of 1076444430 in words is "one billion, seventy-six million, four hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 61 83 95 114 122 166 183 190 249 285 305 366 373 415 498 570 610 746 830 915 1119 1159 1245 1577 1830 1865 2238 2318 2490 3154 3477 3730 4731 5063 5595 5795 6954 7087 7885 9462 10126 11190 11590 14174 15189 15770 17385 21261 22753 23655 25315 30378 30959 34770 35435 42522 45506 47310 50630 61918 68259 70870 75945 92877 96197 106305 113765 136518 151890 154795 185754 192394 212610 227530 288591 309590 341295 432307 464385 480985 577182 588221 682590 864614 928770 961970 1176442 1296921 1442955 1764663 1888499 2161535 2593842 2885910 2941105 3529326 3776998 4323070 5665497 5882210 6484605 8823315 9442495 11330994 12969210 17646630 18884990 28327485 35881481 56654970 71762962 107644443 179407405 215288886 358814810 538222215 1076444430