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344003102040 = 233513220514809
BaseRepresentation
bin1010000000110000010…
…11101100010101011000
31012212221011112012220010
411000120023230111120
521114004243231130
6422011032201520
733565501056513
oct5003013542530
91185834465803
10344003102040
11122988868134
1256805b392a0
132659334a7b0
141291522dd7a
158e358300b0
hex50182ec558

344003102040 has 64 divisors (see below), whose sum is σ = 1111394642400. Its totient is φ = 84677686272.

The previous prime is 344003102017. The next prime is 344003102117. The reversal of 344003102040 is 40201300443.

It is a junction number, because it is equal to n+sod(n) for n = 344003101998 and 344003102016.

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, 110255845 + ... + 110258964.

Almost surely, 2344003102040 is an apocalyptic number.

344003102040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344003102040 is an abundant number, since it is smaller than the sum of its proper divisors (767391540360).

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

344003102040 is a wasteful number, since it uses less digits than its factorization.

344003102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220514836 (or 220514832 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 344003102040 its reverse (40201300443), we get a palindrome (384204402483).

The spelling of 344003102040 in words is "three hundred forty-four billion, three million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 220514809 441029618 661544427 882059236 1102574045 1323088854 1764118472 2205148090 2646177708 2866692517 3307722135 4410296180 5292355416 5733385034 6615444270 8600077551 8820592360 11466770068 13230888540 14333462585 17200155102 22933540136 26461777080 28666925170 34400310204 43000387755 57333850340 68800620408 86000775510 114667700680 172001551020 344003102040