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2834932640 = 255311015659
BaseRepresentation
bin1010100011111001…
…1010001110100000
321022120102111111012
42220332122032200
521301220321030
61145150240052
7130152346511
oct25076321640
97276374435
102834932640
111225277941
126714b6028
1336243b447
141cc718a08
15118d3a095
hexa8f9a3a0

2834932640 has 96 divisors (see below), whose sum is σ = 6983262720. Its totient is φ = 1086336000.

The previous prime is 2834932621. The next prime is 2834932649. The reversal of 2834932640 is 462394382.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2834932649) 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, 498131 + ... + 503789.

It is an arithmetic number, because the mean of its divisors is an integer number (72742320).

Almost surely, 22834932640 is an apocalyptic number.

2834932640 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 2834932640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491631360).

2834932640 is an abundant number, since it is smaller than the sum of its proper divisors (4148330080).

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

2834932640 is a wasteful number, since it uses less digits than its factorization.

2834932640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 2834932640 is about 53244.0854931325. The cubic root of 2834932640 is about 1415.2969846987.

The spelling of 2834932640 in words is "two billion, eight hundred thirty-four million, nine hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 101 124 155 160 202 248 310 404 496 505 620 808 992 1010 1240 1616 2020 2480 3131 3232 4040 4960 5659 6262 8080 11318 12524 15655 16160 22636 25048 28295 31310 45272 50096 56590 62620 90544 100192 113180 125240 175429 181088 226360 250480 350858 452720 500960 571559 701716 877145 905440 1143118 1403432 1754290 2286236 2806864 2857795 3508580 4572472 5613728 5715590 7017160 9144944 11431180 14034320 17718329 18289888 22862360 28068640 35436658 45724720 70873316 88591645 91449440 141746632 177183290 283493264 354366580 566986528 708733160 1417466320 2834932640