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243131640 = 23354149417
BaseRepresentation
bin11100111110111…
…10010011111000
3121221111100220120
432133132103320
5444220203030
640043053240
76011404413
oct1637362370
9557440816
10243131640
11115272444
1269511220
133b4a939b
142440cb7a
1516529010
hexe7de4f8

243131640 has 64 divisors (see below), whose sum is σ = 747200160. Its totient is φ = 63252480.

The previous prime is 243131639. The next prime is 243131653. The reversal of 243131640 is 46131342.

It is a super-2 number, since 2×2431316402 = 118225988738179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 243131640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19789 + ... + 29628.

Almost surely, 2243131640 is an apocalyptic number.

243131640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243131640 is an abundant number, since it is smaller than the sum of its proper divisors (504068520).

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

243131640 is a wasteful number, since it uses less digits than its factorization.

243131640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49472 (or 49468 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 243131640 is about 15592.6790514010. The cubic root of 243131640 is about 624.1378106207.

Adding to 243131640 its reverse (46131342), we get a palindrome (289262982).

The spelling of 243131640 in words is "two hundred forty-three million, one hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 49417 98834 148251 197668 247085 296502 395336 494170 593004 741255 988340 1186008 1482510 1976680 2026097 2965020 4052194 5930040 6078291 8104388 10130485 12156582 16208776 20260970 24313164 30391455 40521940 48626328 60782910 81043880 121565820 243131640