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3442945536 = 29321743951
BaseRepresentation
bin1100110100110111…
…0010111000000000
322212221111202101100
43031031302320000
524022343224121
61325350134400
7151214361042
oct31515627000
98787452340
103442945536
1115074a8a38
12801051400
1342b3b12a4
14249389a92
151523dc026
hexcd372e00

3442945536 has 120 divisors (see below), whose sum is σ = 10521317664. Its totient is φ = 1080115200.

The previous prime is 3442945523. The next prime is 3442945573. The reversal of 3442945536 is 6355492443.

3442945536 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 94 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3442945491 and 3442945500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56361 + ... + 100311.

Almost surely, 23442945536 is an apocalyptic number.

3442945536 is a gapful number since it is divisible by the number (36) 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 3442945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260658832).

3442945536 is an abundant number, since it is smaller than the sum of its proper divisors (7078372128).

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

3442945536 is a wasteful number, since it uses less digits than its factorization.

3442945536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43992 (or 43973 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 3442945536 is about 58676.6183074655. The cubic root of 3442945536 is about 1509.9992012042. Note that the first 3 decimals are identical.

The spelling of 3442945536 in words is "three billion, four hundred forty-two million, nine hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8704 9792 13056 19584 26112 39168 43951 78336 87902 131853 175804 263706 351608 395559 527412 703216 747167 791118 1054824 1406432 1494334 1582236 2109648 2241501 2812864 2988668 3164472 4219296 4483002 5625728 5977336 6328944 6724503 8438592 8966004 11251456 11954672 12657888 13449006 16877184 17932008 22502912 23909344 25315776 26898012 33754368 35864016 47818688 50631552 53796024 67508736 71728032 95637376 101263104 107592048 143456064 191274752 202526208 215184096 286912128 382549504 430368192 573824256 860736384 1147648512 1721472768 3442945536