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1397534436 = 22321719313877
BaseRepresentation
bin101001101001100…
…1010111011100100
310121101201002211200
41103103022323210
510330232100221
6350402002500
746426563264
oct12323127344
93541632750
101397534436
11657965341
12330046430
131936c746c
14d386d7a4
1582a59426
hex534caee4

1397534436 has 144 divisors (see below), whose sum is σ = 4065384960. Its totient is φ = 401863680.

The previous prime is 1397534429. The next prime is 1397534459. The reversal of 1397534436 is 6344357931.

1397534436 is a `hidden beast` number, since 139 + 75 + 3 + 443 + 6 = 666.

1397534436 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1397534391 and 1397534400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358530 + ... + 362406.

It is an arithmetic number, because the mean of its divisors is an integer number (28231840).

Almost surely, 21397534436 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 1397534436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032692480).

1397534436 is an abundant number, since it is smaller than the sum of its proper divisors (2667850524).

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

1397534436 is a wasteful number, since it uses less digits than its factorization.

1397534436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3949 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 1397534436 is about 37383.6118640241. The cubic root of 1397534436 is about 1118.0318420958.

The spelling of 1397534436 in words is "one billion, three hundred ninety-seven million, five hundred thirty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 31 34 36 38 51 57 62 68 76 93 102 114 124 153 171 186 204 228 279 306 323 342 372 527 558 589 612 646 684 969 1054 1116 1178 1292 1581 1767 1938 2108 2356 2907 3162 3534 3876 3877 4743 5301 5814 6324 7068 7754 9486 10013 10602 11628 11631 15508 18972 20026 21204 23262 30039 34893 40052 46524 60078 65909 69786 73663 90117 120156 120187 131818 139572 147326 180234 197727 220989 240374 263636 294652 360468 360561 395454 441978 480748 593181 662967 721122 790908 883956 1081683 1186362 1252271 1325934 1442244 2043179 2163366 2283553 2372724 2504542 2651868 3756813 4086358 4326732 4567106 5009084 6129537 6850659 7513626 8172716 9134212 11270439 12259074 13701318 15027252 18388611 20551977 22540878 24518148 27402636 36777222 38820401 41103954 45081756 73554444 77640802 82207908 116461203 155281604 232922406 349383609 465844812 698767218 1397534436