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335376684272 = 24721669256307
BaseRepresentation
bin1001110000101100000…
…00100001010011110000
31012001122222101210100202
410320112000201103300
520443322412344042
6414023034134332
733141642531500
oct4702600412360
91161588353322
10335376684272
1111a261438853
1254bb8b813a8
132581a0bc496
14123376a3a00
158acd349632
hex4e160214f0

335376684272 has 60 divisors (see below), whose sum is σ = 756336714120. Its totient is φ = 143646185088.

The previous prime is 335376684271. The next prime is 335376684299. The reversal of 335376684272 is 272486673533.

It is a happy number.

It is a super-2 number, since 2×3353766842722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335376684271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1180343 + ... + 1436649.

It is an arithmetic number, because the mean of its divisors is an integer number (12605611902).

Almost surely, 2335376684272 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 335376684272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378168357060).

335376684272 is an abundant number, since it is smaller than the sum of its proper divisors (420960029848).

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

335376684272 is a wasteful number, since it uses less digits than its factorization.

335376684272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257998 (or 257985 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 56.

The spelling of 335376684272 in words is "three hundred thirty-five billion, three hundred seventy-six million, six hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1669 3338 6676 11683 13352 23366 26704 46732 81781 93464 163562 186928 256307 327124 512614 654248 1025228 1308496 1794149 2050456 3588298 4100912 7176596 12559043 14353192 25118086 28706384 50236172 100472344 200944688 427776383 855552766 1711105532 2994434681 3422211064 5988869362 6844422128 11977738724 20961042767 23955477448 41922085534 47910954896 83844171068 167688342136 335376684272