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2940315336 = 233372967057
BaseRepresentation
bin1010111101000001…
…1010011011001000
321120220201111101000
42233100122123020
522010210042321
61203433055000
7132602160630
oct25720323310
97526644330
102940315336
111279805482
126a0857460
1337b217c7a
141dc70b6c0
15123204826
hexaf41a6c8

2940315336 has 128 divisors (see below), whose sum is σ = 9656352000. Its totient is φ = 811109376.

The previous prime is 2940315263. The next prime is 2940315401. The reversal of 2940315336 is 6335130492.

It is a happy number.

2940315336 is a `hidden beast` number, since 2 + 9 + 4 + 0 + 315 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2940315336.

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, 10320 + ... + 77376.

It is an arithmetic number, because the mean of its divisors is an integer number (75440250).

Almost surely, 22940315336 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 2940315336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828176000).

2940315336 is an abundant number, since it is smaller than the sum of its proper divisors (6716036664).

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

2940315336 is a wasteful number, since it uses less digits than its factorization.

2940315336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67108 (or 67098 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2940315336 is about 54224.6746048328. The cubic root of 2940315336 is about 1432.6209672798.

The spelling of 2940315336 in words is "two billion, nine hundred forty million, three hundred fifteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3654 4872 5481 6264 7308 10962 14616 21924 43848 67057 134114 201171 268228 402342 469399 536456 603513 804684 938798 1207026 1408197 1609368 1810539 1877596 1944653 2414052 2816394 3621078 3755192 3889306 4224591 4828104 5632788 5833959 7242156 7778612 8449182 11265576 11667918 12673773 13612571 14484312 15557224 16898364 17501877 23335836 25347546 27225142 33796728 35003754 40837713 46671672 50695092 52505631 54450284 70007508 81675426 101390184 105011262 108900568 122513139 140015016 163350852 210022524 245026278 326701704 367539417 420045048 490052556 735078834 980105112 1470157668 2940315336