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345335455140 = 223513234056751
BaseRepresentation
bin1010000011001111001…
…10001101110110100100
31020000101000120202202020
411001213212031312210
521124221334031030
6422351145143140
733643506636054
oct5014746156644
91200330522666
10345335455140
111235019527a5
1256b1818aab0
13267463a2800
1412a00173564
158eb27b1510
hex506798dda4

345335455140 has 72 divisors (see below), whose sum is σ = 1047040783488. Its totient is φ = 85005648000.

The previous prime is 345335455103. The next prime is 345335455177. The reversal of 345335455140 is 41554533543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345335455103) and next prime (345335455177).

It is a junction number, because it is equal to n+sod(n) for n = 345335455092 and 345335455101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17018236 + ... + 17038515.

It is an arithmetic number, because the mean of its divisors is an integer number (14542233104).

Almost surely, 2345335455140 is an apocalyptic number.

345335455140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345335455140 is an abundant number, since it is smaller than the sum of its proper divisors (701705328348).

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

345335455140 is a wasteful number, since it uses less digits than its factorization.

345335455140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34056789 (or 34056774 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

Adding to 345335455140 its reverse (41554533543), we get a palindrome (386889988683).

The spelling of 345335455140 in words is "three hundred forty-five billion, three hundred thirty-five million, four hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 34056751 68113502 102170253 136227004 170283755 204340506 340567510 408681012 442737763 510851265 681135020 885475526 1021702530 1328213289 1770951052 2043405060 2213688815 2656426578 4427377630 5312853156 5755590919 6641066445 8854755260 11511181838 13282132890 17266772757 23022363676 26564265780 28777954595 34533545514 57555909190 69067091028 86333863785 115111818380 172667727570 345335455140