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290560825434 = 2311374714711721
BaseRepresentation
bin1000011101001101100…
…01100101100001011010
31000202222200110021111010
410032212301211201122
514230032032403214
6341252022514350
726664240160065
oct4164661454132
91022880407433
10290560825434
11102254013790
12483902959b6
13215273a2109
14100c56898dc
157858b81659
hex43a6c6585a

290560825434 has 128 divisors (see below), whose sum is σ = 665776226304. Its totient is φ = 83740608000.

The previous prime is 290560825421. The next prime is 290560825439. The reversal of 290560825434 is 434528065092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (290560825439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168831694 + ... + 168833414.

It is an arithmetic number, because the mean of its divisors is an integer number (5201376768).

Almost surely, 2290560825434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290560825434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332888113152).

290560825434 is an abundant number, since it is smaller than the sum of its proper divisors (375215400870).

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

290560825434 is a wasteful number, since it uses less digits than its factorization.

290560825434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292.

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 290560825434 in words is "two hundred ninety billion, five hundred sixty million, eight hundred twenty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 47 66 74 94 111 141 222 282 407 517 814 1034 1221 1471 1551 1721 1739 2442 2942 3102 3442 3478 4413 5163 5217 8826 10326 10434 16181 18931 19129 32362 37862 38258 48543 54427 56793 57387 63677 69137 80887 97086 108854 113586 114774 127354 138274 161774 163281 191031 207411 242661 326562 382062 414822 485322 598697 700447 760507 889757 1197394 1400894 1521014 1779514 1796091 2101341 2281521 2531591 2558069 2669271 2992819 3592182 4202682 4563042 5063182 5116138 5338542 5985638 7594773 7674207 8978457 15189546 15348414 17956914 27847501 28138759 32921009 55695002 56277518 65842018 83542503 84416277 93668867 98763027 118984777 167085006 168832554 187337734 197526054 237969554 281006601 356954331 562013202 713908662 1030357537 1308832547 2060715074 2617665094 3091072611 3926497641 4402436749 6182145222 7852995282 8804873498 13207310247 26414620494 48426804239 96853608478 145280412717 290560825434