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1434309552 = 2433131272011
BaseRepresentation
bin101010101111101…
…1101001110110000
310200221220110211000
41111133131032300
510414140401202
6354154122000
750354300334
oct12537351660
93627813730
101434309552
116766a2aa5
12340420300
1319b2021a0
14d86c37c4
1585dc091c
hex557dd3b0

1434309552 has 160 divisors (see below), whose sum is σ = 4470824960. Its totient is φ = 437633280.

The previous prime is 1434309511. The next prime is 1434309557. The reversal of 1434309552 is 2559034341.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1434309557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712227 + ... + 714237.

It is an arithmetic number, because the mean of its divisors is an integer number (27942656).

Almost surely, 21434309552 is an apocalyptic number.

1434309552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434309552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235412480).

1434309552 is an abundant number, since it is smaller than the sum of its proper divisors (3036515408).

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

1434309552 is a wasteful number, since it uses less digits than its factorization.

1434309552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1434309552 is about 37872.2794666495. The cubic root of 1434309552 is about 1127.7537941601.

The spelling of 1434309552 in words is "one billion, four hundred thirty-four million, three hundred nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 127 144 156 208 216 234 254 312 351 381 432 468 508 624 702 762 936 1016 1143 1404 1524 1651 1872 2011 2032 2286 2808 3048 3302 3429 4022 4572 4953 5616 6033 6096 6604 6858 8044 9144 9906 12066 13208 13716 14859 16088 18099 18288 19812 24132 26143 26416 27432 29718 32176 36198 39624 44577 48264 52286 54297 54864 59436 72396 78429 79248 89154 96528 104572 108594 118872 144792 156858 178308 209144 217188 235287 237744 255397 289584 313716 356616 418288 434376 470574 510794 627432 705861 713232 766191 868752 941148 1021588 1254864 1411722 1532382 1882296 2043176 2298573 2823444 3064764 3320161 3764592 4086352 4597146 5646888 6129528 6640322 6895719 9194292 9960483 11293776 12259056 13280644 13791438 18388584 19920966 26561288 27582876 29881449 36777168 39841932 53122576 55165752 59762898 79683864 89644347 110331504 119525796 159367728 179288694 239051592 358577388 478103184 717154776 1434309552