Search a number
-
+
97334640 = 243251310399
BaseRepresentation
bin1011100110100…
…11010101110000
320210011010000200
411303103111300
5144404202030
613354115200
72261221314
oct563232560
9223133020
1097334640
114aa40a57
122871bb00
131721c580
14ccd9b44
158829d60
hex5cd3570

97334640 has 120 divisors (see below), whose sum is σ = 352060800. Its totient is φ = 23956992.

The previous prime is 97334621. The next prime is 97334647. The reversal of 97334640 is 4643379.

97334640 is a `hidden beast` number, since 9 + 7 + 3 + 3 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 97334595 and 97334604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97334647) 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, 4161 + ... + 14559.

It is an arithmetic number, because the mean of its divisors is an integer number (2933840).

Almost surely, 297334640 is an apocalyptic number.

97334640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97334640 is the 6240-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97334640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176030400).

97334640 is an abundant number, since it is smaller than the sum of its proper divisors (254726160).

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

97334640 is a wasteful number, since it uses less digits than its factorization.

97334640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10431 (or 10422 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 97334640 is about 9865.8319466733. The cubic root of 97334640 is about 459.9978575830.

The spelling of 97334640 in words is "ninety-seven million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 10399 20798 31197 41596 51995 62394 83192 93591 103990 124788 135187 155985 166384 187182 207980 249576 270374 311970 374364 405561 415960 467955 499152 540748 623940 675935 748728 811122 831920 935910 1081496 1216683 1247880 1351870 1497456 1622244 1871820 2027805 2162992 2433366 2495760 2703740 3244488 3743640 4055610 4866732 5407480 6083415 6488976 7487280 8111220 9733464 10814960 12166830 16222440 19466928 24333660 32444880 48667320 97334640