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2941490304 = 27323122657
BaseRepresentation
bin1010111101010011…
…1001010010000000
321120222221012010100
42233110321102000
522011010142204
61203514202400
7132615153324
oct25724712200
97528835110
102941490304
11127a438225
126a1123400
1337b539a0c
141dc935984
15123387a39
hexaf539480

2941490304 has 144 divisors (see below), whose sum is σ = 8749591110. Its totient is φ = 948510720.

The previous prime is 2941490303. The next prime is 2941490341. The reversal of 2941490304 is 4030941492.

It can be written as a sum of positive squares in only one way, i.e., 2338689600 + 602800704 = 48360^2 + 24552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2941490303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1105744 + ... + 1108400.

Almost surely, 22941490304 is an apocalyptic number.

2941490304 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 2941490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374795555).

2941490304 is an abundant number, since it is smaller than the sum of its proper divisors (5808100806).

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

2941490304 is a wasteful number, since it uses less digits than its factorization.

2941490304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2941490304 is about 54235.5077785762. The cubic root of 2941490304 is about 1432.8117699016.

The spelling of 2941490304 in words is "two billion, nine hundred forty-one million, four hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 961 992 1116 1152 1488 1922 1984 2232 2657 2883 2976 3844 3968 4464 5314 5766 5952 7688 7971 8649 8928 10628 11532 11904 15376 15942 17298 17856 21256 23064 23913 30752 31884 34596 35712 42512 46128 47826 61504 63768 69192 82367 85024 92256 95652 123008 127536 138384 164734 170048 184512 191304 247101 255072 276768 329468 340096 369024 382608 494202 510144 553536 658936 741303 765216 988404 1020288 1107072 1317872 1482606 1530432 1976808 2553377 2635744 2965212 3060864 3953616 5106754 5271488 5930424 7660131 7907232 10213508 10542976 11860848 15320262 15814464 20427016 22980393 23721696 30640524 31628928 40854032 45960786 47443392 61281048 81708064 91921572 94886784 122562096 163416128 183843144 245124192 326832256 367686288 490248384 735372576 980496768 1470745152 2941490304