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1045977394 = 2711172329599
BaseRepresentation
bin111110010110000…
…101100100110010
32200220012011020111
4332112011210302
54120232234034
6251442531534
734630442530
oct7626054462
92626164214
101045977394
11497477330
12252366baa
13138917647
149ccb9150
1561c64364
hex3e585932

1045977394 has 128 divisors (see below), whose sum is σ = 2239488000. Its totient is φ = 353633280.

The previous prime is 1045977391. The next prime is 1045977397. The reversal of 1045977394 is 4937795401.

1045977394 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1045977391) and next prime (1045977397).

It is not an unprimeable number, because it can be changed into a prime (1045977391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1745907 + ... + 1746505.

It is an arithmetic number, because the mean of its divisors is an integer number (17496000).

Almost surely, 21045977394 is an apocalyptic number.

1045977394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1045977394 is an abundant number, since it is smaller than the sum of its proper divisors (1193510606).

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

1045977394 is a wasteful number, since it uses less digits than its factorization.

1045977394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688.

The product of its (nonzero) digits is 952560, while the sum is 49.

The square root of 1045977394 is about 32341.5737712314. The cubic root of 1045977394 is about 1015.0967395479.

The spelling of 1045977394 in words is "one billion, forty-five million, nine hundred seventy-seven thousand, three hundred ninety-four".

Divisors: 1 2 7 11 14 17 22 23 29 34 46 58 77 119 154 161 187 203 238 253 319 322 374 391 406 493 506 599 638 667 782 986 1198 1309 1334 1771 2233 2618 2737 3451 3542 4193 4301 4466 4669 5423 5474 6589 6902 7337 8386 8602 9338 10183 10846 11339 13178 13777 14674 17371 20366 22678 27554 30107 34742 37961 46123 51359 60214 71281 75922 79373 92246 96439 102718 112013 121597 124729 142562 151547 158746 191081 192878 224026 234209 243194 249458 295307 303094 382162 399533 468418 590614 784091 799066 873103 1060829 1337567 1568182 1639463 1746206 2067149 2121658 2576299 2675134 2796731 3248377 3278926 4134298 4394863 5152598 5593462 6496754 6792061 8789726 13584122 18034093 22738639 30764041 36068186 45477278 47544427 61528082 74712671 95088854 149425342 522988697 1045977394