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1036406364 = 223741300931
BaseRepresentation
bin111101110001100…
…100111001011100
32200020011220020220
4331301210321130
54110310000424
6250501441340
734453210620
oct7561447134
92606156226
101036406364
1149202a494
1224b110250
13136946106
149b907180
1560ec3579
hex3dc64e5c

1036406364 has 48 divisors (see below), whose sum is σ = 2831168256. Its totient is φ = 288892800.

The previous prime is 1036406363. The next prime is 1036406389. The reversal of 1036406364 is 4636046301.

It is a super-3 number, since 3×10364063643 (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036406363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147022 + ... + 153909.

It is an arithmetic number, because the mean of its divisors is an integer number (58982672).

Almost surely, 21036406364 is an apocalyptic number.

1036406364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1036406364 is an abundant number, since it is smaller than the sum of its proper divisors (1794761892).

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

1036406364 is a wasteful number, since it uses less digits than its factorization.

1036406364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300986 (or 300984 counting only the distinct ones).

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

The square root of 1036406364 is about 32193.2658175588. The cubic root of 1036406364 is about 1011.9910936220.

The spelling of 1036406364 in words is "one billion, thirty-six million, four hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 300931 601862 902793 1203724 1805586 2106517 3611172 4213034 6319551 8426068 12338171 12639102 24676342 25278204 37014513 49352684 74029026 86367197 148058052 172734394 259101591 345468788 518203182 1036406364