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1340921952 = 25342917839
BaseRepresentation
bin100111111101100…
…1101100001100000
310110110011220010000
41033323031201200
510221234000302
6341020340000
745141435306
oct11773154140
93413156100
101340921952
11628a08567
123150a4600
13184a65356
14ca134276
157cac531c
hex4fecd860

1340921952 has 120 divisors (see below), whose sum is σ = 4079829600. Its totient is φ = 431536896.

The previous prime is 1340921951. The next prime is 1340921983. The reversal of 1340921952 is 2591290431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340921951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66249 + ... + 84087.

It is an arithmetic number, because the mean of its divisors is an integer number (33998580).

Almost surely, 21340921952 is an apocalyptic number.

1340921952 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 1340921952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039914800).

1340921952 is an abundant number, since it is smaller than the sum of its proper divisors (2738907648).

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

1340921952 is a wasteful number, since it uses less digits than its factorization.

1340921952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17890 (or 17873 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1340921952 is about 36618.6011748128. The cubic root of 1340921952 is about 1102.7265562454.

The spelling of 1340921952 in words is "one billion, three hundred forty million, nine hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3132 4176 4698 6264 8352 9396 12528 17839 18792 25056 35678 37584 53517 71356 75168 107034 142712 160551 214068 285424 321102 428136 481653 517331 570848 642204 856272 963306 1034662 1284408 1444959 1551993 1712544 1926612 2069324 2568816 2889918 3103986 3853224 4138648 4655979 5137632 5779836 6207972 7706448 8277296 9311958 11559672 12415944 13967937 15412896 16554592 18623916 23119344 24831888 27935874 37247832 41903811 46238688 49663776 55871748 74495664 83807622 111743496 148991328 167615244 223486992 335230488 446973984 670460976 1340921952