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345560568336 = 243654432
BaseRepresentation
bin1010000011101010000…
…00111101001000010000
31020000221201011201000000
411001311000331020100
521130202001141321
6422425350130000
733652212236544
oct5016500751020
91200851151000
10345560568336
11123607a28665
1256b7b650900
1326780c10699
1412a22011a24
158ec742b826
hex507503d210

345560568336 has 105 divisors (see below), whose sum is σ = 1004010653919. Its totient is φ = 115165693728.

The previous prime is 345560568323. The next prime is 345560568337. The reversal of 345560568336 is 633865065543.

The square root of 345560568336 is 587844.

It is a perfect power (a square), and thus also a powerful number.

345560568336 is a `hidden beast` number, since 3 + 4 + 556 + 0 + 5 + 6 + 83 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (345560568337) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 63484431 + ... + 63489873.

Almost surely, 2345560568336 is an apocalyptic number.

345560568336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

345560568336 is the 587844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345560568336

345560568336 is an abundant number, since it is smaller than the sum of its proper divisors (658450085583).

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

345560568336 is an frugal number, since it uses more digits than its factorization.

345560568336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10912 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 345560568336 in words is "three hundred forty-five billion, five hundred sixty million, five hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5443 5832 10886 11664 16329 21772 32658 43544 48987 65316 87088 97974 130632 146961 195948 261264 293922 391896 440883 587844 783792 881766 1175688 1322649 1763532 2351376 2645298 3527064 3967947 5290596 7054128 7935894 10581192 15871788 21162384 29626249 31743576 59252498 63487152 88878747 118504996 177757494 237009992 266636241 355514988 474019984 533272482 711029976 799908723 1066544964 1422059952 1599817446 2133089928 2399726169 3199634892 4266179856 4799452338 6399269784 7199178507 9598904676 12798539568 14398357014 19197809352 21597535521 28796714028 38395618704 43195071042 57593428056 86390142084 115186856112 172780284168 345560568336