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1342196496 = 2432432712
BaseRepresentation
bin101000000000000…
…0100101100010000
310110112120122110100
41100000010230100
510222100241441
6341103532400
745155324214
oct12000045420
93415518410
101342196496
116296a9103
123155ba100
131850c0514
14ca386944
157cc77cb6
hex50004b10

1342196496 has 135 divisors (see below), whose sum is σ = 3900600327. Its totient is φ = 430839360.

The previous prime is 1342196489. The next prime is 1342196509. The reversal of 1342196496 is 6946912431.

The square root of 1342196496 is 36636.

It is a perfect power (a square), and thus also a powerful number.

1342196496 is a `hidden beast` number, since 134 + 21 + 9 + 6 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18904141 + ... + 18904211.

Almost surely, 21342196496 is an apocalyptic number.

1342196496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1342196496 is the 36636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342196496

1342196496 is an abundant number, since it is smaller than the sum of its proper divisors (2558403831).

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

1342196496 is an equidigital number, since it uses as much as digits as its factorization.

1342196496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 119 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The cubic root of 1342196496 is about 1103.0758255047.

It can be divided in two parts, 134219 and 6496, that added together give a triangular number (140715 = T530).

The spelling of 1342196496 in words is "one billion, three hundred forty-two million, one hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 71 72 86 129 142 144 172 213 258 284 344 387 426 516 568 639 688 774 852 1032 1136 1278 1548 1704 1849 2064 2556 3053 3096 3408 3698 5041 5112 5547 6106 6192 7396 9159 10082 10224 11094 12212 14792 15123 16641 18318 20164 22188 24424 27477 29584 30246 33282 36636 40328 44376 45369 48848 54954 60492 66564 73272 80656 88752 90738 109908 120984 131279 133128 146544 181476 216763 219816 241968 262558 266256 362952 393837 433526 439632 525116 650289 725904 787674 867052 1050232 1181511 1300578 1575348 1734104 1950867 2100464 2363022 2601156 3150696 3468208 3901734 4726044 5202312 6301392 7803468 9320809 9452088 10404624 15606936 18641618 18904176 27962427 31213872 37283236 55924854 74566472 83887281 111849708 149132944 167774562 223699416 335549124 447398832 671098248 1342196496