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1042640340 = 223578927893
BaseRepresentation
bin111110001001010…
…110110111010100
32200122220121122220
4332021112313110
54113403442330
6251243222340
734560203520
oct7611266724
92618817586
101042640340
114955a8135
122512179b0
13138019761
149c68ad80
1561805710
hex3e256dd4

1042640340 has 96 divisors (see below), whose sum is σ = 3374058240. Its totient is φ = 235631616.

The previous prime is 1042640321. The next prime is 1042640351. The reversal of 1042640340 is 430462401.

It is a self number, because there is not a number n which added to its sum of digits gives 1042640340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23434 + ... + 51326.

It is an arithmetic number, because the mean of its divisors is an integer number (35146440).

Almost surely, 21042640340 is an apocalyptic number.

1042640340 is a gapful number since it is divisible by the number (10) 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 1042640340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687029120).

1042640340 is an abundant number, since it is smaller than the sum of its proper divisors (2331417900).

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

1042640340 is a wasteful number, since it uses less digits than its factorization.

1042640340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28001 (or 27999 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1042640340 is about 32289.9417775876. The cubic root of 1042640340 is about 1014.0160783915.

The spelling of 1042640340 in words is "one billion, forty-two million, six hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 140 178 210 267 356 420 445 534 623 890 1068 1246 1335 1780 1869 2492 2670 3115 3738 5340 6230 7476 9345 12460 18690 27893 37380 55786 83679 111572 139465 167358 195251 278930 334716 390502 418395 557860 585753 781004 836790 976255 1171506 1673580 1952510 2343012 2482477 2928765 3905020 4964954 5857530 7447431 9929908 11715060 12412385 14894862 17377339 24824770 29789724 34754678 37237155 49649540 52132017 69509356 74474310 86886695 104264034 148948620 173773390 208528068 260660085 347546780 521320170 1042640340