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3383234240 = 26519229287
BaseRepresentation
bin1100100110101000…
…0000111011000000
322201210011002212212
43021222000323000
523412101443430
61315414241252
7146561005451
oct31152007300
98653132785
103383234240
111486824a61
127a5056228
1341bc05869
14241485128
1514c044b95
hexc9a80ec0

3383234240 has 84 divisors (see below), whose sum is σ = 8502950736. Its totient is φ = 1282023936.

The previous prime is 3383234219. The next prime is 3383234293. The reversal of 3383234240 is 424323833.

It is a super-2 number, since 2×33832342402 = 22892547845416755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3383234197 and 3383234206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100877 + ... + 130163.

It is an arithmetic number, because the mean of its divisors is an integer number (101225604).

Almost surely, 23383234240 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 3383234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251475368).

3383234240 is an abundant number, since it is smaller than the sum of its proper divisors (5119716496).

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

3383234240 is a wasteful number, since it uses less digits than its factorization.

3383234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29342 (or 29313 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The square root of 3383234240 is about 58165.5760738257. The cubic root of 3383234240 is about 1501.2188966664.

The spelling of 3383234240 in words is "three billion, three hundred eighty-three million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 361 380 608 722 760 1216 1444 1520 1805 2888 3040 3610 5776 6080 7220 11552 14440 23104 28880 29287 57760 58574 115520 117148 146435 234296 292870 468592 556453 585740 937184 1112906 1171480 1874368 2225812 2342960 2782265 4451624 4685920 5564530 8903248 9371840 10572607 11129060 17806496 21145214 22258120 35612992 42290428 44516240 52863035 84580856 89032480 105726070 169161712 178064960 211452140 338323424 422904280 676646848 845808560 1691617120 3383234240