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3980304240 = 2435115328447
BaseRepresentation
bin1110110100111110…
…1001111101110000
3101021101122101221120
43231033221331300
531122424213430
61454543422240
7200431012353
oct35517517560
911241571846
103980304240
111762861540
12930bb4980
134b5816913
1429a8a829a
15184684610
hexed3e9f70

3980304240 has 160 divisors (see below), whose sum is σ = 13715122176. Its totient is φ = 946682880.

The previous prime is 3980304239. The next prime is 3980304257. The reversal of 3980304240 is 424030893.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 125697 + ... + 154143.

Almost surely, 23980304240 is an apocalyptic number.

3980304240 is a gapful number since it is divisible by the number (30) 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 3980304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857561088).

3980304240 is an abundant number, since it is smaller than the sum of its proper divisors (9734817936).

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

3980304240 is a wasteful number, since it uses less digits than its factorization.

3980304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28527 (or 28521 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3980304240 is about 63089.6524003739. The cubic root of 3980304240 is about 1584.7913414051.

The spelling of 3980304240 in words is "three billion, nine hundred eighty million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1590 1749 2120 2332 2544 2640 2915 3180 3498 4240 4664 5830 6360 6996 8745 9328 11660 12720 13992 17490 23320 27984 28447 34980 46640 56894 69960 85341 113788 139920 142235 170682 227576 284470 312917 341364 426705 455152 568940 625834 682728 853410 938751 1137880 1251668 1365456 1507691 1564585 1706820 1877502 2275760 2503336 3015382 3129170 3413640 3755004 4523073 4693755 5006672 6030764 6258340 6827280 7510008 7538455 9046146 9387510 12061528 12516680 15020016 15076910 16584601 18092292 18775020 22615365 24123056 25033360 30153820 33169202 36184584 37550040 45230730 49753803 60307640 66338404 72369168 75100080 82923005 90461460 99507606 120615280 132676808 165846010 180922920 199015212 248769015 265353616 331692020 361845840 398030424 497538030 663384040 796060848 995076060 1326768080 1990152120 3980304240