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1342325664 = 2532371031223
BaseRepresentation
bin101000000000010…
…0100001110100000
310110112211012122100
41100000210032200
510222113410124
6341110410400
745156402621
oct12000441640
93415735570
101342325664
11629787159
12315660a00
13185137254
14ca3bba48
157cca11c9
hex500243a0

1342325664 has 144 divisors (see below), whose sum is σ = 3961706112. Its totient is φ = 430769664.

The previous prime is 1342325651. The next prime is 1342325671. The reversal of 1342325664 is 4665232431.

1342325664 is a `hidden beast` number, since 1 + 342 + 3 + 256 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096957 + ... + 1098179.

It is an arithmetic number, because the mean of its divisors is an integer number (27511848).

Almost surely, 21342325664 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 1342325664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980853056).

1342325664 is an abundant number, since it is smaller than the sum of its proper divisors (2619380448).

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

1342325664 is a wasteful number, since it uses less digits than its factorization.

1342325664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 1342325664 is about 36637.7628137964. The cubic root of 1342325664 is about 1103.1112096749. Note that the first 3 decimals are identical.

The spelling of 1342325664 in words is "one billion, three hundred forty-two million, three hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 103 111 144 148 206 222 288 296 309 333 412 444 592 618 666 824 888 927 1184 1223 1236 1332 1648 1776 1854 2446 2472 2664 3296 3552 3669 3708 3811 4892 4944 5328 7338 7416 7622 9784 9888 10656 11007 11433 14676 14832 15244 19568 22014 22866 29352 29664 30488 34299 39136 44028 45251 45732 58704 60976 68598 88056 90502 91464 117408 121952 125969 135753 137196 176112 181004 182928 251938 271506 274392 352224 362008 365856 377907 407259 503876 543012 548784 724016 755814 814518 1007752 1086024 1097568 1133721 1448032 1511628 1629036 2015504 2172048 2267442 3023256 3258072 4031008 4344096 4534884 4660853 6046512 6516144 9069768 9321706 12093024 13032288 13982559 18139536 18643412 27965118 36279072 37286824 41947677 55930236 74573648 83895354 111860472 149147296 167790708 223720944 335581416 447441888 671162832 1342325664