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3400402544 = 247116145247
BaseRepresentation
bin1100101010101110…
…0000011001110000
322202222110100100222
43022223200121300
523431000340134
61321230232212
7150156642020
oct31253403160
98688410328
103400402544
111495490840
127aa955668
13422637116
14243873a80
1514d7d6a2e
hexcaae0670

3400402544 has 80 divisors (see below), whose sum is σ = 8348798976. Its totient is φ = 1303084800.

The previous prime is 3400402529. The next prime is 3400402549. The reversal of 3400402544 is 4452040043.

It is a super-2 number, since 2×34004025442 = 23125474922483343872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400402549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52529 + ... + 97775.

Almost surely, 23400402544 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 3400402544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174399488).

3400402544 is an abundant number, since it is smaller than the sum of its proper divisors (4948396432).

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

3400402544 is a wasteful number, since it uses less digits than its factorization.

3400402544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45334 (or 45328 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 3400402544 is about 58312.9706326131. The cubic root of 3400402544 is about 1503.7539373178.

Adding to 3400402544 its reverse (4452040043), we get a palindrome (7852442587).

The spelling of 3400402544 in words is "three billion, four hundred million, four hundred two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 61 77 88 112 122 154 176 244 308 427 488 616 671 854 976 1232 1342 1708 2684 3416 4697 5368 6832 9394 10736 18788 37576 45247 75152 90494 180988 316729 361976 497717 633458 723952 995434 1266916 1990868 2533832 2760067 3484019 3981736 5067664 5520134 6968038 7963472 11040268 13936076 19320469 22080536 27872152 30360737 38640938 44161072 55744304 60721474 77281876 121442948 154563752 212525159 242885896 309127504 425050318 485771792 850100636 1700201272 3400402544