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619140340 = 2257131720011
BaseRepresentation
bin100100111001110…
…101010011110100
31121011000120212201
4210321311103310
52231444442330
6141234154244
721225414610
oct4471652364
91534016781
10619140340
11298541335
12153422984
139b36a940
145c32a340
153954deca
hex24e754f4

619140340 has 96 divisors (see below), whose sum is σ = 1694456064. Its totient is φ = 184412160.

The previous prime is 619140331. The next prime is 619140349. The reversal of 619140340 is 43041916.

It is an interprime number because it is at equal distance from previous prime (619140331) and next prime (619140349).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 619140299 and 619140308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (619140349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20935 + ... + 40945.

It is an arithmetic number, because the mean of its divisors is an integer number (17650584).

Almost surely, 2619140340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 619140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847228032).

619140340 is an abundant number, since it is smaller than the sum of its proper divisors (1075315724).

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

619140340 is a wasteful number, since it uses less digits than its factorization.

619140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20057 (or 20055 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 619140340 is about 24882.5308198342. The cubic root of 619140340 is about 852.3076118923.

The spelling of 619140340 in words is "six hundred nineteen million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1547 1820 2210 2380 3094 4420 6188 7735 15470 20011 30940 40022 80044 100055 140077 200110 260143 280154 340187 400220 520286 560308 680374 700385 1040572 1300715 1360748 1400770 1700935 1821001 2381309 2601430 2801540 3401870 3642002 4422431 4762618 5202860 6803740 7284004 8844862 9105005 9525236 11906545 17689724 18210010 22112155 23813090 30957017 36420020 44224310 47626180 61914034 88448620 123828068 154785085 309570170 619140340