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2933319420 = 223457432437
BaseRepresentation
bin1010111011010110…
…1110011011111100
321120102120001210000
42232311232123330
522001412210140
61203023114300
7132455542443
oct25665563374
97512501700
102933319420
111275867329
1269a442990
13379938885
141db809d5a
151227c1a30
hexaed6e6fc

2933319420 has 120 divisors (see below), whose sum is σ = 9218097504. Its totient is φ = 780845184.

The previous prime is 2933319413. The next prime is 2933319443. The reversal of 2933319420 is 249133392.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1202442 + ... + 1204878.

Almost surely, 22933319420 is an apocalyptic number.

2933319420 is a gapful number since it is divisible by the number (20) 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 2933319420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609048752).

2933319420 is an abundant number, since it is smaller than the sum of its proper divisors (6284778084).

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

2933319420 is a wasteful number, since it uses less digits than its factorization.

2933319420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2933319420 is about 54160.1275847833. The cubic root of 2933319420 is about 1431.4838494094.

The spelling of 2933319420 in words is "two billion, nine hundred thirty-three million, three hundred nineteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 743 810 1486 1620 2229 2437 2972 3715 4458 4874 6687 7311 7430 8916 9748 11145 12185 13374 14622 14860 20061 21933 22290 24370 26748 29244 33435 36555 40122 43866 44580 48740 60183 65799 66870 73110 80244 87732 100305 109665 120366 131598 133740 146220 197397 200610 219330 240732 263196 300915 328995 394794 401220 438660 601830 657990 789588 986985 1203660 1315980 1810691 1973970 3621382 3947940 5432073 7242764 9053455 10864146 16296219 18106910 21728292 27160365 32592438 36213820 48888657 54320730 65184876 81481095 97777314 108641460 146665971 162962190 195554628 244443285 293331942 325924380 488886570 586663884 733329855 977773140 1466659710 2933319420