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803351040 = 2935293607
BaseRepresentation
bin101111111000100…
…010101000000000
32001222122110110020
4233320202220000
53121124213130
6211414333440
725623241212
oct5770425000
92058573406
10803351040
1138251a588
121a505a280
13ca58725b
147899c5b2
154a7d9e10
hex2fe22a00

803351040 has 160 divisors (see below), whose sum is σ = 2657508480. Its totient is φ = 206782464.

The previous prime is 803351023. The next prime is 803351041. The reversal of 803351040 is 40153308.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 803351040.

It is not an unprimeable number, because it can be changed into a prime (803351041) 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, 220917 + ... + 224523.

It is an arithmetic number, because the mean of its divisors is an integer number (16609428).

Almost surely, 2803351040 is an apocalyptic number.

803351040 is a gapful number since it is divisible by the number (80) 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 803351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328754240).

803351040 is an abundant number, since it is smaller than the sum of its proper divisors (1854157440).

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

803351040 is a wasteful number, since it uses less digits than its factorization.

803351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 803351040 is about 28343.4479201102. The cubic root of 803351040 is about 929.6121402645.

The spelling of 803351040 in words is "eight hundred three million, three hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1160 1280 1392 1536 1740 1856 1920 2320 2560 2784 3480 3607 3712 3840 4640 5568 6960 7214 7424 7680 9280 10821 11136 13920 14428 14848 18035 18560 21642 22272 27840 28856 36070 37120 43284 44544 54105 55680 57712 72140 74240 86568 104603 108210 111360 115424 144280 173136 209206 216420 222720 230848 288560 313809 346272 418412 432840 461696 523015 577120 627618 692544 836824 865680 923392 1046030 1154240 1255236 1385088 1569045 1673648 1731360 1846784 2092060 2308480 2510472 2770176 3138090 3347296 3462720 4184120 4616960 5020944 5540352 6276180 6694592 6925440 8368240 9233920 10041888 12552360 13389184 13850880 16736480 20083776 25104720 26778368 27701760 33472960 40167552 50209440 53556736 66945920 80335104 100418880 133891840 160670208 200837760 267783680 401675520 803351040