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345342453552 = 243219413078577
BaseRepresentation
bin1010000011010000000…
…00111010011100110000
31020000101111202022202200
411001220000322130300
521124230132003202
6422351555143200
733643623264435
oct5015000723460
91200344668680
10345342453552
111235058a2808
1256b1a5a4b00
1326747983095
1412a01075b8c
158eb31e4e1c
hex506803a730

345342453552 has 120 divisors (see below), whose sum is σ = 1042160224560. Its totient is φ = 106395586560.

The previous prime is 345342453539. The next prime is 345342453553. The reversal of 345342453552 is 255354243543.

345342453552 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 42 + 4 + 53 + 552 = 666.

It is a super-2 number, since 2×3453424535522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345342453498 and 345342453507.

It is not an unprimeable number, because it can be changed into a prime (345342453553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427113 + ... + 1651464.

It is an arithmetic number, because the mean of its divisors is an integer number (8684668538).

Almost surely, 2345342453552 is an apocalyptic number.

It is an amenable number.

345342453552 is an abundant number, since it is smaller than the sum of its proper divisors (696817771008).

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

345342453552 is a wasteful number, since it uses less digits than its factorization.

345342453552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078651 (or 3078642 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 45.

The spelling of 345342453552 in words is "three hundred forty-five billion, three hundred forty-two million, four hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 369 456 492 656 684 738 779 912 984 1368 1476 1558 1968 2337 2736 2952 3116 4674 5904 6232 7011 9348 12464 14022 18696 28044 37392 56088 112176 3078577 6157154 9235731 12314308 18471462 24628616 27707193 36942924 49257232 55414386 58492963 73885848 110828772 116985926 126221657 147771696 175478889 221657544 233971852 252443314 350957778 378664971 443315088 467943704 504886628 526436667 701915556 757329942 935887408 1009773256 1052873334 1135994913 1403831112 1514659884 2019546512 2105746668 2271989826 2398211483 2807662224 3029319768 4211493336 4543979652 4796422966 6058639536 7194634449 8422986672 9087959304 9592845932 14389268898 18175918608 19185691864 21583903347 28778537796 38371383728 43167806694 57557075592 86335613388 115114151184 172671226776 345342453552