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2974430240 = 255192933739
BaseRepresentation
bin1011000101001010…
…0011010000100000
321200021220201012222
42301102203100200
522042423231430
61211052210212
7133465145165
oct26122432040
97607821188
102974430240
111296a96511
126b0169968
13385300bc2
1420306c06c
151261e29e5
hexb14a3420

2974430240 has 96 divisors (see below), whose sum is σ = 7652232000. Its totient is φ = 1088252928.

The previous prime is 2974430209. The next prime is 2974430257. The reversal of 2974430240 is 420344792.

It is a self number, because there is not a number n which added to its sum of digits gives 2974430240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71291 + ... + 105029.

It is an arithmetic number, because the mean of its divisors is an integer number (79710750).

Almost surely, 22974430240 is an apocalyptic number.

2974430240 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 2974430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826116000).

2974430240 is an abundant number, since it is smaller than the sum of its proper divisors (4677801760).

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

2974430240 is a wasteful number, since it uses less digits than its factorization.

2974430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33802 (or 33794 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 2974430240 is about 54538.3373417269. The cubic root of 2974430240 is about 1438.1403205553.

The spelling of 2974430240 in words is "two billion, nine hundred seventy-four million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 145 152 160 190 232 290 304 380 464 551 580 608 760 928 1102 1160 1520 2204 2320 2755 3040 4408 4640 5510 8816 11020 17632 22040 33739 44080 67478 88160 134956 168695 269912 337390 539824 641041 674780 978431 1079648 1282082 1349560 1956862 2564164 2699120 3205205 3913724 4892155 5128328 5398240 6410410 7827448 9784310 10256656 12820820 15654896 18590189 19568620 20513312 25641640 31309792 37180378 39137240 51283280 74360756 78274480 92950945 102566560 148721512 156548960 185901890 297443024 371803780 594886048 743607560 1487215120 2974430240