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2405034016 = 257111576217
BaseRepresentation
bin1000111101011001…
…1110100000100000
320012121111101102221
42033112132200200
514411142042031
61034352120424
7113412310660
oct21726364040
96177441387
102405034016
111024640720
12571536114
132c435c068
1418b5b01a0
15e121ca11
hex8f59e820

2405034016 has 96 divisors (see below), whose sum is σ = 5941821312. Its totient is φ = 930908160.

The previous prime is 2405034001. The next prime is 2405034029. The reversal of 2405034016 is 6104305042.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383740 + ... + 389956.

It is an arithmetic number, because the mean of its divisors is an integer number (61893972).

Almost surely, 22405034016 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 2405034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970910656).

2405034016 is an abundant number, since it is smaller than the sum of its proper divisors (3536787296).

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

2405034016 is a wasteful number, since it uses less digits than its factorization.

2405034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2405034016 is about 49041.1461530010. The cubic root of 2405034016 is about 1339.8013398224.

Adding to 2405034016 its reverse (6104305042), we get a palindrome (8509339058).

The spelling of 2405034016 in words is "two billion, four hundred five million, thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 157 176 224 308 314 352 616 628 1099 1232 1256 1727 2198 2464 2512 3454 4396 5024 6217 6908 8792 12089 12434 13816 17584 24178 24868 27632 35168 43519 48356 49736 55264 68387 87038 96712 99472 136774 174076 193424 198944 273548 348152 386848 478709 547096 696304 957418 976069 1094192 1392608 1914836 1952138 2188384 3829672 3904276 6832483 7659344 7808552 10736759 13664966 15318688 15617104 21473518 27329932 31234208 42947036 54659864 75157313 85894072 109319728 150314626 171788144 218639456 300629252 343576288 601258504 1202517008 2405034016