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3630022440 = 2335114758511
BaseRepresentation
bin1101100001011101…
…1011111100101000
3100100222112020122120
43120113123330220
524413241204230
61400111551240
7155645452542
oct33027337450
910328466576
103630022440
1115a3064650
1285382b520
1345b092395
14266166692
15163a42310
hexd85dbf28

3630022440 has 128 divisors (see below), whose sum is σ = 12133048320. Its totient is φ = 861267200.

The previous prime is 3630022439. The next prime is 3630022493. The reversal of 3630022440 is 442200363.

It is a happy number.

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 3630022440.

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, 32785 + ... + 91295.

It is an arithmetic number, because the mean of its divisors is an integer number (94789440).

Almost surely, 23630022440 is an apocalyptic number.

3630022440 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 3630022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066524160).

3630022440 is an abundant number, since it is smaller than the sum of its proper divisors (8503025880).

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

3630022440 is a wasteful number, since it uses less digits than its factorization.

3630022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58583 (or 58579 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3630022440 is about 60249.6675509500. The cubic root of 3630022440 is about 1536.8675349608.

The spelling of 3630022440 in words is "three billion, six hundred thirty million, twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 12408 15510 20680 31020 58511 62040 117022 175533 234044 292555 351066 468088 585110 643621 702132 877665 1170220 1287242 1404264 1755330 1930863 2340440 2574484 2750017 3218105 3510660 3861726 5148968 5500034 6436210 7021320 7723452 8250051 9654315 11000068 12872420 13750085 15446904 16500102 19308630 22000136 25744840 27500170 30250187 33000204 38617260 41250255 55000340 60500374 66000408 77234520 82500510 90750561 110000680 121000748 151250935 165001020 181501122 242001496 302501870 330002040 363002244 453752805 605003740 726004488 907505610 1210007480 1815011220 3630022440