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335130240 = 2735237589
BaseRepresentation
bin10011111110011…
…010111010000000
3212100121101021010
4103332122322000
51141243131430
653131000520
711206363044
oct2376327200
9770541233
10335130240
11162199345
1294299140
135457ac23
143271a024
151e64ccb0
hex13f9ae80

335130240 has 128 divisors (see below), whose sum is σ = 1114819200. Its totient is φ = 85471232.

The previous prime is 335130239. The next prime is 335130259. The reversal of 335130240 is 42031533.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3351302402 = 224624555524915200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40366 + ... + 47954.

It is an arithmetic number, because the mean of its divisors is an integer number (8709525).

Almost surely, 2335130240 is an apocalyptic number.

335130240 is a gapful number since it is divisible by the number (30) 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 335130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557409600).

335130240 is an abundant number, since it is smaller than the sum of its proper divisors (779688960).

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

335130240 is a wasteful number, since it uses less digits than its factorization.

335130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 335130240 is about 18306.5627576561. The cubic root of 335130240 is about 694.6049477518.

Adding to 335130240 its reverse (42031533), we get a palindrome (377161773).

The spelling of 335130240 in words is "three hundred thirty-five million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2760 2944 3680 4416 5520 7360 7589 8832 11040 14720 15178 22080 22767 30356 37945 44160 45534 60712 75890 91068 113835 121424 151780 174547 182136 227670 242848 303560 349094 364272 455340 485696 523641 607120 698188 728544 872735 910680 971392 1047282 1214240 1396376 1457088 1745470 1821360 2094564 2428480 2618205 2792752 2914176 3490940 3642720 4189128 4856960 5236410 5585504 6981880 7285440 8378256 10472820 11171008 13963760 14570880 16756512 20945640 22342016 27927520 33513024 41891280 55855040 67026048 83782560 111710080 167565120 335130240