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234311640 = 23353162987
BaseRepresentation
bin11011111011101…
…00111111011000
3121022220021010220
431331310333120
5434440433030
635130040040
75543421213
oct1575647730
9538807126
10234311640
11110298892
1266579020
133970b954
142319477a
1515885a10
hexdf74fd8

234311640 has 64 divisors (see below), whose sum is σ = 725621760. Its totient is φ = 60466560.

The previous prime is 234311633. The next prime is 234311647. The reversal of 234311640 is 46113432.

It is an interprime number because it is at equal distance from previous prime (234311633) and next prime (234311647).

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 234311640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234311647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27774 + ... + 35213.

It is an arithmetic number, because the mean of its divisors is an integer number (11337840).

Almost surely, 2234311640 is an apocalyptic number.

234311640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234311640 is an abundant number, since it is smaller than the sum of its proper divisors (491310120).

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

234311640 is a wasteful number, since it uses less digits than its factorization.

234311640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63032 (or 63028 counting only the distinct ones).

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

The square root of 234311640 is about 15307.2414235877. The cubic root of 234311640 is about 616.4974547497.

The spelling of 234311640 in words is "two hundred thirty-four million, three hundred eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 62987 125974 188961 251948 314935 377922 503896 629870 755844 944805 1259740 1511688 1889610 1952597 2519480 3779220 3905194 5857791 7558440 7810388 9762985 11715582 15620776 19525970 23431164 29288955 39051940 46862328 58577910 78103880 117155820 234311640