Search a number
-
+
31370248 = 23713411051
BaseRepresentation
bin111011110101…
…0110000001000
32012000202220001
41313222300020
531012321443
63040212344
7530433310
oct167526010
965022801
1031370248
1116786a28
12a60a0b4
1366648a0
144248440
152b49d4d
hex1deac08

31370248 has 64 divisors (see below), whose sum is σ = 74229120. Its totient is φ = 12096000.

The previous prime is 31370239. The next prime is 31370249. The reversal of 31370248 is 84207313.

31370248 = T377 + T378 + ... + T622.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (31370249) 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, 29323 + ... + 30373.

It is an arithmetic number, because the mean of its divisors is an integer number (1159830).

Almost surely, 231370248 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 31370248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37114560).

31370248 is an abundant number, since it is smaller than the sum of its proper divisors (42858872).

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

31370248 is a wasteful number, since it uses less digits than its factorization.

31370248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 31370248 is about 5600.9149252600. The cubic root of 31370248 is about 315.3837533435.

The spelling of 31370248 in words is "thirty-one million, three hundred seventy thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 164 182 287 328 364 533 574 728 1051 1066 1148 2102 2132 2296 3731 4204 4264 7357 7462 8408 13663 14714 14924 27326 29428 29848 43091 54652 58856 86182 95641 109304 172364 191282 301637 344728 382564 560183 603274 765128 1120366 1206548 2240732 2413096 3921281 4481464 7842562 15685124 31370248