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2953045344 = 253475911093
BaseRepresentation
bin1011000000000011…
…1110010101100000
321121210200020122210
42300000332111200
522021434422334
61205010002120
7133115320434
oct26000762540
97553606583
102953045344
111285a0a747
126a4b76340
13380a54312
142002a29c4
151243bb5e9
hexb003e560

2953045344 has 96 divisors (see below), whose sum is σ = 8051581440. Its totient is φ = 946990592.

The previous prime is 2953045343. The next prime is 2953045387. The reversal of 2953045344 is 4435403592.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953045343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260662 + ... + 271754.

It is an arithmetic number, because the mean of its divisors is an integer number (83870640).

Almost surely, 22953045344 is an apocalyptic number.

2953045344 is a gapful number since it is divisible by the number (24) 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 2953045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025790720).

2953045344 is an abundant number, since it is smaller than the sum of its proper divisors (5098536096).

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

2953045344 is a wasteful number, since it uses less digits than its factorization.

2953045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11212 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 2953045344 is about 54341.9298884388. The cubic root of 2953045344 is about 1434.6854873700.

The spelling of 2953045344 in words is "two billion, nine hundred fifty-three million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 59 94 96 118 141 177 188 236 282 354 376 472 564 708 752 944 1128 1416 1504 1888 2256 2773 2832 4512 5546 5664 8319 11092 11093 16638 22184 22186 33276 33279 44368 44372 66552 66558 88736 88744 133104 133116 177488 266208 266232 354976 521371 532464 654487 1042742 1064928 1308974 1564113 1963461 2085484 2617948 3128226 3926922 4170968 5235896 6256452 7853844 8341936 10471792 12512904 15707688 16683872 20943584 25025808 30760889 31415376 50051616 61521778 62830752 92282667 123043556 184565334 246087112 369130668 492174224 738261336 984348448 1476522672 2953045344