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332040420 = 2232523139577
BaseRepresentation
bin10011110010101…
…000100011100100
3212010210101211100
4103302220203210
51140000243140
652540440100
711141203605
oct2362504344
9763711740
10332040420
11160478978
1293249030
1353a3872a
1432153dac
151e23c530
hex13ca88e4

332040420 has 144 divisors (see below), whose sum is σ = 1060375680. Its totient is φ = 83939328.

The previous prime is 332040407. The next prime is 332040433. The reversal of 332040420 is 24040233.

It is an interprime number because it is at equal distance from previous prime (332040407) and next prime (332040433).

It is a super-2 number, since 2×3320404202 = 220501681027552800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 332040393 and 332040402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575172 + ... + 575748.

It is an arithmetic number, because the mean of its divisors is an integer number (7363720).

Almost surely, 2332040420 is an apocalyptic number.

332040420 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 332040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530187840).

332040420 is an abundant number, since it is smaller than the sum of its proper divisors (728335260).

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

332040420 is a wasteful number, since it uses less digits than its factorization.

332040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 332040420 is about 18221.9762923784. The cubic root of 332040420 is about 692.4636567702.

Adding to 332040420 its reverse (24040233), we get a palindrome (356080653).

The spelling of 332040420 in words is "three hundred thirty-two million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 139 180 207 230 276 278 345 414 417 460 556 577 690 695 828 834 1035 1154 1251 1380 1390 1668 1731 2070 2085 2308 2502 2780 2885 3197 3462 4140 4170 5004 5193 5770 6255 6394 6924 8340 8655 9591 10386 11540 12510 12788 13271 15985 17310 19182 20772 25020 25965 26542 28773 31970 34620 38364 39813 47955 51930 53084 57546 63940 66355 79626 80203 95910 103860 115092 119439 132710 143865 159252 160406 191820 199065 238878 240609 265420 287730 320812 398130 401015 477756 481218 575460 597195 721827 796260 802030 962436 1194390 1203045 1443654 1604060 1844669 2388780 2406090 2887308 3609135 3689338 4812180 5534007 7218270 7378676 9223345 11068014 14436540 16602021 18446690 22136028 27670035 33204042 36893380 55340070 66408084 83010105 110680140 166020210 332040420