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3993728310 = 23251113310313
BaseRepresentation
bin1110111000001011…
…0111010100110110
3101022022220102022100
43232002313110312
531134343301220
61500143242530
7200653062525
oct35602672466
911268812270
103993728310
11176a3a0210
129355a9446
134b8536b60
1429c5a04bc
15185936d90
hexee0b7536

3993728310 has 96 divisors (see below), whose sum is σ = 12199063968. Its totient is φ = 893698560.

The previous prime is 3993728273. The next prime is 3993728339. The reversal of 3993728310 is 138273993.

It is a super-2 number, since 2×39937283102 = 31899731628190912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142287 + ... + 168026.

It is an arithmetic number, because the mean of its divisors is an integer number (127073583).

Almost surely, 23993728310 is an apocalyptic number.

3993728310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3993728310 is an abundant number, since it is smaller than the sum of its proper divisors (8205335658).

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

3993728310 is a wasteful number, since it uses less digits than its factorization.

3993728310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310350 (or 310347 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3993728310 is about 63195.9516899619. The cubic root of 3993728310 is about 1586.5709773774.

The spelling of 3993728310 in words is "three billion, nine hundred ninety-three million, seven hundred twenty-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 2145 2574 4290 6435 12870 310313 620626 930939 1551565 1861878 2792817 3103130 3413443 4034069 4654695 5585634 6826886 8068138 9309390 10240329 12102207 13964085 17067215 20170345 20480658 24204414 27928170 30720987 34134430 36306621 40340690 44374759 51201645 60511035 61441974 72613242 88749518 102403290 121022070 133124277 153604935 181533105 221873795 266248554 307209870 363066210 399372831 443747590 665621385 798745662 1331242770 1996864155 3993728310