Search a number
-
+
974042368 = 28135412
BaseRepresentation
bin111010000011101…
…011010100000000
32111212211110221021
4322003223110000
53443323323433
6240353035224
733065136445
oct7203532400
92455743837
10974042368
1145a9044a2
12232255b14
13126a4c140
14935119cc
155a7a522d
hex3a0eb500

974042368 has 54 divisors (see below), whose sum is σ = 2097717342. Its totient is φ = 448727040.

The previous prime is 974042347. The next prime is 974042389. The reversal of 974042368 is 863240479.

It is an interprime number because it is at equal distance from previous prime (974042347) and next prime (974042389).

It can be written as a sum of positive squares in 3 ways, for example, as 8573184 + 965469184 = 2928^2 + 31072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1800178 + ... + 1800718.

Almost surely, 2974042368 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 974042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048858671).

974042368 is an abundant number, since it is smaller than the sum of its proper divisors (1123674974).

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

974042368 is an frugal number, since it uses more digits than its factorization.

974042368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 974042368 is about 31209.6518404163. The cubic root of 974042368 is about 991.2714907930.

The spelling of 974042368 in words is "nine hundred seventy-four million, forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 541 832 1082 1664 2164 3328 4328 7033 8656 14066 17312 28132 34624 56264 69248 112528 138496 225056 292681 450112 585362 900224 1170724 1800448 2341448 3804853 4682896 7609706 9365792 15219412 18731584 30438824 37463168 60877648 74926336 121755296 243510592 487021184 974042368