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303042040 = 23573473119
BaseRepresentation
bin10010000100000…
…000110111111000
3210010020010112021
4102010000313320
51110034321130
650023124224
710336546330
oct2204006770
9703203467
10303042040
11146071a74
12855a3674
134aa24622
142c3660c0
151b91037a
hex12100df8

303042040 has 64 divisors (see below), whose sum is σ = 781747200. Its totient is φ = 103567488.

The previous prime is 303042037. The next prime is 303042071. The reversal of 303042040 is 40240303.

It is a congruent number.

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, 95601 + ... + 98719.

It is an arithmetic number, because the mean of its divisors is an integer number (12214800).

Almost surely, 2303042040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390873600).

303042040 is an abundant number, since it is smaller than the sum of its proper divisors (478705160).

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

303042040 is a wasteful number, since it uses less digits than its factorization.

303042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 303042040 is about 17408.1027110940. The cubic root of 303042040 is about 671.6880579307.

Adding to 303042040 its reverse (40240303), we get a palindrome (343282343).

The spelling of 303042040 in words is "three hundred three million, forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 347 694 1388 1735 2429 2776 3119 3470 4858 6238 6940 9716 12145 12476 13880 15595 19432 21833 24290 24952 31190 43666 48580 62380 87332 97160 109165 124760 174664 218330 436660 873320 1082293 2164586 4329172 5411465 7576051 8658344 10822930 15152102 21645860 30304204 37880255 43291720 60608408 75760510 151521020 303042040