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2945091324 = 2237833671151
BaseRepresentation
bin1010111110001010…
…1000011011111100
321121020201010210110
42233202220123330
522012420410244
61204123310020
7132660602040
oct25742503374
97536633713
102945091324
11128147777a
126a237b310
1337c1caab6
141dd1d2020
151238499b9
hexaf8a86fc

2945091324 has 96 divisors (see below), whose sum is σ = 7976779776. Its totient is φ = 828331200.

The previous prime is 2945091319. The next prime is 2945091337. The reversal of 2945091324 is 4231905492.

It is a super-3 number, since 3×29450913243 (a number of 29 digits) contains 333 as substring.

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, 2558149 + ... + 2559299.

It is an arithmetic number, because the mean of its divisors is an integer number (83091456).

Almost surely, 22945091324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2945091324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988389888).

2945091324 is an abundant number, since it is smaller than the sum of its proper divisors (5031688452).

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

2945091324 is a wasteful number, since it uses less digits than its factorization.

2945091324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2945091324 is about 54268.6956172709. The cubic root of 2945091324 is about 1433.3962219147.

The spelling of 2945091324 in words is "two billion, nine hundred forty-five million, ninety-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 367 498 581 734 996 1101 1151 1162 1468 1743 2202 2302 2324 2569 3453 3486 4404 4604 5138 6906 6972 7707 8057 10276 13812 15414 16114 24171 30461 30828 32228 48342 60922 91383 95533 96684 121844 182766 191066 213227 286599 365532 382132 422417 426454 573198 639681 668731 844834 852908 1146396 1267251 1279362 1337462 1689668 2006193 2534502 2558724 2674924 2956919 4012386 5069004 5913838 8024772 8870757 11827676 17741514 35060611 35483028 70121222 105181833 140242444 210363666 245424277 420727332 490848554 736272831 981697108 1472545662 2945091324