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2034963240 = 2335173133187
BaseRepresentation
bin111100101001011…
…0001001100101000
312020211010211202220
41321102301030220
513131422310430
6533532154040
7101266621302
oct17122611450
95224124686
102034963240
11954758002
12489608920
1326579947b
1415439a972
15bd9bc110
hex794b1328

2034963240 has 128 divisors (see below), whose sum is σ = 6486687360. Its totient is φ = 508944384.

The previous prime is 2034963221. The next prime is 2034963283. The reversal of 2034963240 is 423694302.

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, 636927 + ... + 640113.

It is an arithmetic number, because the mean of its divisors is an integer number (50677245).

Almost surely, 22034963240 is an apocalyptic number.

2034963240 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 2034963240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243343680).

2034963240 is an abundant number, since it is smaller than the sum of its proper divisors (4451724120).

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

2034963240 is a wasteful number, since it uses less digits than its factorization.

2034963240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 2034963240 is about 45110.5668330603. The cubic root of 2034963240 is about 1267.2204986529.

The spelling of 2034963240 in words is "two billion, thirty-four million, nine hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 313 340 408 510 626 680 939 1020 1252 1565 1878 2040 2504 3130 3187 3756 4695 5321 6260 6374 7512 9390 9561 10642 12520 12748 15935 15963 18780 19122 21284 25496 26605 31870 31926 37560 38244 42568 47805 53210 54179 63740 63852 76488 79815 95610 106420 108358 127480 127704 159630 162537 191220 212840 216716 270895 319260 325074 382440 433432 541790 638520 650148 812685 997531 1083580 1300296 1625370 1995062 2167160 2992593 3250740 3990124 4987655 5985186 6501480 7980248 9975310 11970372 14962965 16958027 19950620 23940744 29925930 33916054 39901240 50874081 59851860 67832108 84790135 101748162 119703720 135664216 169580270 203496324 254370405 339160540 406992648 508740810 678321080 1017481620 2034963240