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1145640304 = 242379157251
BaseRepresentation
bin100010001001001…
…0001010101110000
32221211201120001101
41010102101111300
54321240442204
6305403014144
740250532124
oct10422212560
92854646041
101145640304
11538758576
1227b80a354
13153470893
14ac21d584
156a89dea4
hex44491570

1145640304 has 80 divisors (see below), whose sum is σ = 2369848320. Its totient is φ = 535392000.

The previous prime is 1145640277. The next prime is 1145640311. The reversal of 1145640304 is 4030465411.

It is a super-2 number, since 2×11456403042 = 2624983412298424832, which contains 22 as substring.

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, 4564179 + ... + 4564429.

It is an arithmetic number, because the mean of its divisors is an integer number (29623104).

Almost surely, 21145640304 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 1145640304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184924160).

1145640304 is an abundant number, since it is smaller than the sum of its proper divisors (1224208016).

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

1145640304 is a wasteful number, since it uses less digits than its factorization.

1145640304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1145640304 is about 33847.3086670122. The cubic root of 1145640304 is about 1046.3639322625.

The spelling of 1145640304 in words is "one billion, one hundred forty-five million, six hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 16 23 46 79 92 157 158 184 251 314 316 368 502 628 632 1004 1256 1264 1817 2008 2512 3611 3634 4016 5773 7222 7268 11546 12403 14444 14536 19829 23092 24806 28888 29072 39407 39658 46184 49612 57776 78814 79316 92368 99224 157628 158632 198448 285269 315256 317264 456067 570538 630512 906361 912134 1141076 1812722 1824268 2282152 3113153 3625444 3648536 4564304 6226306 7250888 7297072 12452612 14501776 24905224 49810448 71602519 143205038 286410076 572820152 1145640304