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345363351536 = 2472647680857
BaseRepresentation
bin1010000011010010100…
…00101000011111110000
31020000102222002001102002
411001221100220133300
521124301004222121
6422354023113132
733644266023500
oct5015120503760
91200388061362
10345363351536
11123516676775
1256b255a27a8
132674c0bc158
1412a03b55a00
158eb4e71e0b
hex50694287f0

345363351536 has 60 divisors (see below), whose sum is σ = 779593303728. Its totient is φ = 147783879936.

The previous prime is 345363351533. The next prime is 345363351623. The reversal of 345363351536 is 635153363543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345363351533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166820 + ... + 847676.

Almost surely, 2345363351536 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 345363351536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389796651864).

345363351536 is an abundant number, since it is smaller than the sum of its proper divisors (434229952192).

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

345363351536 is a wasteful number, since it uses less digits than its factorization.

345363351536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681526 (or 681513 counting only the distinct ones).

The product of its digits is 4374000, while the sum is 47.

The spelling of 345363351536 in words is "three hundred forty-five billion, three hundred sixty-three million, three hundred fifty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 647 784 1294 2588 4529 5176 9058 10352 18116 31703 36232 63406 72464 126812 253624 507248 680857 1361714 2723428 4765999 5446856 9531998 10893712 19063996 33361993 38127992 66723986 76255984 133447972 266895944 440514479 533791888 881028958 1762057916 3083601353 3524115832 6167202706 7048231664 12334405412 21585209471 24668810824 43170418942 49337621648 86340837884 172681675768 345363351536