Search a number
-
+
293720340 = 223513137369
BaseRepresentation
bin10001100000011…
…101000100010100
3202110200112120010
4101200131010110
51100143022330
645051240220
710164403344
oct2140350424
9673615503
10293720340
11140885491
1282449070
1348b0c724
142b01ad24
151abbd3b0
hex1181d114

293720340 has 48 divisors (see below), whose sum is σ = 828717120. Its totient is φ = 77725440.

The previous prime is 293720321. The next prime is 293720347. The reversal of 293720340 is 43027392.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 293720298 and 293720307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293720347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10825 + ... + 26544.

It is an arithmetic number, because the mean of its divisors is an integer number (17264940).

Almost surely, 2293720340 is an apocalyptic number.

293720340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

293720340 is an abundant number, since it is smaller than the sum of its proper divisors (534996780).

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

293720340 is a wasteful number, since it uses less digits than its factorization.

293720340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37512 (or 37510 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 293720340 is about 17138.2712080303. The cubic root of 293720340 is about 664.7290734992.

The spelling of 293720340 in words is "two hundred ninety-three million, seven hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 37369 74738 112107 149476 186845 224214 373690 448428 560535 747380 1121070 2242140 4895339 9790678 14686017 19581356 24476695 29372034 48953390 58744068 73430085 97906780 146860170 293720340