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2430100340 = 225416834339
BaseRepresentation
bin1001000011011000…
…0110001101110100
320021100122212222022
42100312012031310
514434101202330
61041045252312
7114135340433
oct22066061564
96240585868
102430100340
111037801398
12579a04098
132c95c74c5
14190a5711a
15e351eae5
hex90d86374

2430100340 has 48 divisors (see below), whose sum is σ = 5236539840. Its totient is φ = 946725120.

The previous prime is 2430100339. The next prime is 2430100349. The reversal of 2430100340 is 430010342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430100349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557891 + ... + 562229.

It is an arithmetic number, because the mean of its divisors is an integer number (109094580).

Almost surely, 22430100340 is an apocalyptic number.

2430100340 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 2430100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618269920).

2430100340 is an abundant number, since it is smaller than the sum of its proper divisors (2806439500).

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

2430100340 is a wasteful number, since it uses less digits than its factorization.

2430100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2430100340 is about 49296.0479146148. The cubic root of 2430100340 is about 1344.4399284101.

Adding to 2430100340 its reverse (430010342), we get a palindrome (2860110682).

The spelling of 2430100340 in words is "two billion, four hundred thirty million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 683 820 1366 2732 3415 4339 6830 8678 13660 17356 21695 28003 43390 56006 86780 112012 140015 177899 280030 355798 560060 711596 889495 1778990 2963537 3557980 5927074 11854148 14817685 29635370 59270740 121505017 243010034 486020068 607525085 1215050170 2430100340