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331022340 = 2232511315393
BaseRepresentation
bin10011101110110…
…000000000000100
3212001212200021200
4103232300000010
51134220203330
652502542500
711126433465
oct2356600004
9761780250
10331022340
1115a942a90
1292a37a30
135377020c
1431d6ad6c
151e0daa60
hex13bb0004

331022340 has 144 divisors (see below), whose sum is σ = 1130927616. Its totient is φ = 77644800.

The previous prime is 331022339. The next prime is 331022353. The reversal of 331022340 is 43220133.

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

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, 58684 + ... + 64076.

It is an arithmetic number, because the mean of its divisors is an integer number (7853664).

Almost surely, 2331022340 is an apocalyptic number.

331022340 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 331022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565463808).

331022340 is an abundant number, since it is smaller than the sum of its proper divisors (799905276).

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

331022340 is a wasteful number, since it uses less digits than its factorization.

331022340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 331022340 is about 18194.0193470272. The cubic root of 331022340 is about 691.7552037112.

Adding to 331022340 its reverse (43220133), we get a palindrome (374242473).

The spelling of 331022340 in words is "three hundred thirty-one million, twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5393 5580 6138 6820 10230 10786 12276 15345 16179 20460 21572 26965 30690 32358 48537 53930 59323 61380 64716 80895 97074 107860 118646 161790 167183 177969 194148 237292 242685 296615 323580 334366 355938 485370 501549 533907 593230 668732 711876 835915 889845 970740 1003098 1067814 1186460 1504647 1671830 1779690 1839013 2006196 2135628 2507745 2669535 3009294 3343660 3559380 3678026 5015490 5339070 5517039 6018588 7356052 7523235 9195065 10030980 10678140 11034078 15046470 16551117 18390130 22068156 27585195 30092940 33102234 36780260 55170390 66204468 82755585 110340780 165511170 331022340