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234690000 = 243547823
BaseRepresentation
bin11011111110100…
…01010111010000
3121100121111011020
431333101113100
5440040040000
635142115440
75546555256
oct1577212720
9540544136
10234690000
11110527086
126671bb80
1339811c2c
14232525d6
151590cba0
hexdfd15d0

234690000 has 100 divisors (see below), whose sum is σ = 757707456. Its totient is φ = 62576000.

The previous prime is 234689993. The next prime is 234690007. The reversal of 234690000 is 96432.

It is an interprime number because it is at equal distance from previous prime (234689993) and next prime (234690007).

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×2346900002 = 110158792200000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234690007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26089 + ... + 33911.

Almost surely, 2234690000 is an apocalyptic number.

234690000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378853728).

234690000 is an abundant number, since it is smaller than the sum of its proper divisors (523017456).

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

234690000 is an equidigital number, since it uses as much as digits as its factorization.

234690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 234690000 is about 15319.5952949156. The cubic root of 234690000 is about 616.8291106826.

The spelling of 234690000 in words is "two hundred thirty-four million, six hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 7823 10000 15000 15646 23469 30000 31292 39115 46938 62584 78230 93876 117345 125168 156460 187752 195575 234690 312920 375504 391150 469380 586725 625840 782300 938760 977875 1173450 1564600 1877520 1955750 2346900 2933625 3129200 3911500 4693800 4889375 5867250 7823000 9387600 9778750 11734500 14668125 15646000 19557500 23469000 29336250 39115000 46938000 58672500 78230000 117345000 234690000