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2134994436 = 22341721512
BaseRepresentation
bin111111101000001…
…0110111000000100
312111210100221210000
41333100112320010
513333024310221
6551504201300
7103623103401
oct17720267004
95453327700
102134994436
119a616aa13
124b7009230
13280421223
141637992a8
15c767ae26
hex7f416e04

2134994436 has 135 divisors (see below), whose sum is σ = 5968445637. Its totient is φ = 665366400.

The previous prime is 2134994431. The next prime is 2134994441. The reversal of 2134994436 is 6344994312.

The square root of 2134994436 is 46206.

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

It is an interprime number because it is at equal distance from previous prime (2134994431) and next prime (2134994441).

It can be written as a sum of positive squares in only one way, i.e., 1662192900 + 472801536 = 40770^2 + 21744^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2134994391 and 2134994400.

It is not an unprimeable number, because it can be changed into a prime (2134994431) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14138961 + ... + 14139111.

Almost surely, 22134994436 is an apocalyptic number.

2134994436 is the 46206-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134994436

2134994436 is an abundant number, since it is smaller than the sum of its proper divisors (3833451201).

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

2134994436 is a wasteful number, since it uses less digits than its factorization.

2134994436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 173 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The cubic root of 2134994436 is about 1287.6532129982.

The spelling of 2134994436 in words is "two billion, one hundred thirty-four million, nine hundred ninety-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 151 153 162 204 289 302 306 324 453 459 578 604 612 867 906 918 1156 1359 1377 1734 1812 1836 2567 2601 2718 2754 3468 4077 5134 5202 5436 5508 7701 7803 8154 10268 10404 12231 15402 15606 16308 22801 23103 23409 24462 30804 31212 43639 45602 46206 46818 48924 68403 69309 87278 91204 92412 93636 130917 136806 138618 174556 205209 207927 261834 273612 277236 387617 392751 410418 415854 523668 615627 775234 785502 820836 831708 1162851 1178253 1231254 1550468 1571004 1846881 2325702 2356506 2462508 3488553 3534759 3693762 4651404 4713012 6589489 6977106 7069518 7387524 10465659 13178978 13954212 14139036 19768467 20931318 26357956 31396977 39536934 41862636 59305401 62793954 79073868 118610802 125587908 177916203 237221604 355832406 533748609 711664812 1067497218 2134994436