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3226140240 = 2435311992179
BaseRepresentation
bin1100000001001010…
…1111111001010000
322022211112220102120
43000102233321100
523101342441430
61252043214240
7142642511451
oct30022577120
98284486376
103226140240
111406087a04
12760517380
133c54c1a2b
14228671128
1513d363610
hexc04afe50

3226140240 has 160 divisors (see below), whose sum is σ = 10380288000. Its totient is φ = 827988480.

The previous prime is 3226140187. The next prime is 3226140251. The reversal of 3226140240 is 420416223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3226140240.

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, 1479471 + ... + 1481649.

It is an arithmetic number, because the mean of its divisors is an integer number (64876800).

Almost surely, 23226140240 is an apocalyptic number.

3226140240 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 3226140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190144000).

3226140240 is an abundant number, since it is smaller than the sum of its proper divisors (7154147760).

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

3226140240 is a wasteful number, since it uses less digits than its factorization.

3226140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3226140240 is about 56799.1218241972. The cubic root of 3226140240 is about 1477.6142839500.

Adding to 3226140240 its reverse (420416223), we get a palindrome (3646556463).

The spelling of 3226140240 in words is "three billion, two hundred twenty-six million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 199 240 248 310 372 398 465 496 597 620 744 796 930 995 1194 1240 1488 1592 1860 1990 2179 2388 2480 2985 3184 3720 3980 4358 4776 5970 6169 6537 7440 7960 8716 9552 10895 11940 12338 13074 15920 17432 18507 21790 23880 24676 26148 30845 32685 34864 37014 43580 47760 49352 52296 61690 65370 67549 74028 87160 92535 98704 104592 123380 130740 135098 148056 174320 185070 202647 246760 261480 270196 296112 337745 370140 405294 433621 493520 522960 540392 675490 740280 810588 867242 1013235 1080784 1300863 1350980 1480560 1621176 1734484 2026470 2168105 2601726 2701960 3242352 3468968 4052940 4336210 5203452 5403920 6504315 6937936 8105880 8672420 10406904 13008630 13442251 16211760 17344840 20813808 26017260 26884502 34689680 40326753 52034520 53769004 67211255 80653506 104069040 107538008 134422510 161307012 201633765 215076016 268845020 322614024 403267530 537690040 645228048 806535060 1075380080 1613070120 3226140240