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972344466 = 23343537901
BaseRepresentation
bin111001111101001…
…100110010010010
32111202122012212000
4321331030302102
53442410010331
6240252414430
733044535342
oct7175146222
92452565760
10972344466
11459954875
12231777416
131265a6372
14931ccd22
155a56c0e6
hex39f4cc92

972344466 has 64 divisors (see below), whose sum is σ = 2253018240. Its totient is φ = 310564800.

The previous prime is 972344449. The next prime is 972344467. The reversal of 972344466 is 664443279.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (972344467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119116 + ... + 127016.

It is an arithmetic number, because the mean of its divisors is an integer number (35203410).

Almost surely, 2972344466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972344466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126509120).

972344466 is an abundant number, since it is smaller than the sum of its proper divisors (1280673774).

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

972344466 is a wasteful number, since it uses less digits than its factorization.

972344466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 8002 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 972344466 is about 31182.4384229329. The cubic root of 972344466 is about 990.6951774809.

The spelling of 972344466 in words is "nine hundred seventy-two million, three hundred forty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 43 53 54 86 106 129 159 258 318 387 477 774 954 1161 1431 2279 2322 2862 4558 6837 7901 13674 15802 20511 23703 41022 47406 61533 71109 123066 142218 213327 339743 418753 426654 679486 837506 1019229 1256259 2038458 2512518 3057687 3768777 6115374 7537554 9173061 11306331 18006379 18346122 22612662 36012758 54019137 108038274 162057411 324114822 486172233 972344466