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3540494190 = 23523311031607
BaseRepresentation
bin1101001100000111…
…1010011101101110
3100010202001201222110
43103001322131232
524222331303230
61343153024450
7153510463332
oct32301723556
910122051873
103540494190
111557575762
12829855126
1344567709c
142582dd7c2
1515ac5a4b0
hexd307a76e

3540494190 has 128 divisors (see below), whose sum is σ = 9247260672. Its totient is φ = 864927360.

The previous prime is 3540494183. The next prime is 3540494207. The reversal of 3540494190 is 914940453.

It is a super-2 number, since 2×35404941902 = 25070198218847512200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2202367 + ... + 2203973.

It is an arithmetic number, because the mean of its divisors is an integer number (72244224).

Almost surely, 23540494190 is an apocalyptic number.

3540494190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3540494190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623630336).

3540494190 is an abundant number, since it is smaller than the sum of its proper divisors (5706766482).

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

3540494190 is a wasteful number, since it uses less digits than its factorization.

3540494190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3540494190 is about 59502.0519814233. The cubic root of 3540494190 is about 1524.1274865623.

The spelling of 3540494190 in words is "three billion, five hundred forty million, four hundred ninety-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 103 115 138 155 186 206 230 309 310 345 465 515 618 690 713 930 1030 1426 1545 1607 2139 2369 3090 3193 3214 3565 4278 4738 4821 6386 7107 7130 8035 9579 9642 10695 11845 14214 15965 16070 19158 21390 23690 24105 31930 35535 36961 47895 48210 49817 71070 73439 73922 95790 99634 110883 146878 149451 165521 184805 220317 221766 249085 298902 331042 367195 369610 440634 496563 498170 554415 734390 747255 827605 993126 1101585 1108830 1145791 1494510 1655210 2203170 2291582 2482815 3437373 3806983 4965630 5131151 5728955 6874746 7613966 10262302 11420949 11457910 15393453 17186865 19034915 22841898 25655755 30786906 34373730 38069830 51311510 57104745 76967265 114209490 118016473 153934530 236032946 354049419 590082365 708098838 1180164730 1770247095 3540494190