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315384372 = 2232233591061
BaseRepresentation
bin10010110011000…
…110001000110100
3210222110012000200
4102303012020310
51121214244442
651143440500
710546502652
oct2263061064
9728405020
10315384372
11152031a46
1289756130
1350456394
142dc59dd2
151ca4c34c
hex12cc6234

315384372 has 72 divisors (see below), whose sum is σ = 834986880. Its totient is φ = 100182720.

The previous prime is 315384371. The next prime is 315384379. The reversal of 315384372 is 273483513.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315384371) 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, 296722 + ... + 297782.

It is an arithmetic number, because the mean of its divisors is an integer number (11597040).

Almost surely, 2315384372 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 315384372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417493440).

315384372 is an abundant number, since it is smaller than the sum of its proper divisors (519602508).

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

315384372 is a wasteful number, since it uses less digits than its factorization.

315384372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1448 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 315384372 is about 17759.0645023886. The cubic root of 315384372 is about 680.6858506916.

The spelling of 315384372 in words is "three hundred fifteen million, three hundred eighty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 359 414 718 828 1061 1077 1436 2122 2154 3183 3231 4244 4308 6366 6462 8257 9549 12732 12924 16514 19098 24403 24771 33028 38196 48806 49542 73209 74313 97612 99084 146418 148626 219627 292836 297252 380899 439254 761798 878508 1142697 1523596 2285394 3428091 4570788 6856182 8760677 13712364 17521354 26282031 35042708 52564062 78846093 105128124 157692186 315384372