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1456068340 = 2251731792351
BaseRepresentation
bin101011011001001…
…1101011011110100
310202110211221021001
41112302131123310
510440223141330
6400252333044
751040243126
oct12662353364
93673757231
101456068340
11687a04771
12347774184
131a287cccc
14db549216
1587c6c9ca
hex56c9d6f4

1456068340 has 48 divisors (see below), whose sum is σ = 3093914880. Its totient is φ = 575580800.

The previous prime is 1456068331. The next prime is 1456068371. The reversal of 1456068340 is 438606541.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1456068340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618165 + ... + 620515.

It is an arithmetic number, because the mean of its divisors is an integer number (64456560).

Almost surely, 21456068340 is an apocalyptic number.

1456068340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456068340 is an abundant number, since it is smaller than the sum of its proper divisors (1637846540).

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

1456068340 is a wasteful number, since it uses less digits than its factorization.

1456068340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 1456068340 is about 38158.4635434919. The cubic root of 1456068340 is about 1133.4279542299.

The spelling of 1456068340 in words is "one billion, four hundred fifty-six million, sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 173 179 346 358 692 716 865 895 1730 1790 2351 3460 3580 4702 9404 11755 23510 30967 47020 61934 123868 154835 309670 406723 420829 619340 813446 841658 1626892 1683316 2033615 2104145 4067230 4208290 8134460 8416580 72803417 145606834 291213668 364017085 728034170 1456068340