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1434737664 = 2103351893
BaseRepresentation
bin101010110000100…
…0101110000000000
310200222201020002000
41111201011300000
510414243101124
6354211224000
750361032433
oct12541056000
93628636060
101434737664
11676965708
123405a8000
1319b321cc9
14d879581a
1585e576c9
hex55845c00

1434737664 has 88 divisors (see below), whose sum is σ = 4249080720. Its totient is φ = 478236672.

The previous prime is 1434737657. The next prime is 1434737701. The reversal of 1434737664 is 4667374341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1702 + ... + 53594.

Almost surely, 21434737664 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 1434737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124540360).

1434737664 is an abundant number, since it is smaller than the sum of its proper divisors (2814343056).

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

1434737664 is an equidigital number, since it uses as much as digits as its factorization.

1434737664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51922 (or 51898 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 1434737664 is about 37877.9310945041. The cubic root of 1434737664 is about 1127.8659867952.

The spelling of 1434737664 in words is "one billion, four hundred thirty-four million, seven hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 51893 103786 155679 207572 311358 415144 467037 622716 830288 934074 1245432 1401111 1660576 1868148 2490864 2802222 3321152 3736296 4981728 5604444 6642304 7472592 9963456 11208888 13284608 14945184 19926912 22417776 26569216 29890368 39853824 44835552 53138432 59780736 79707648 89671104 119561472 159415296 179342208 239122944 358684416 478245888 717368832 1434737664