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30380616 = 2333771283
BaseRepresentation
bin111001111100…
…1001001001000
32010011111101000
41303321021020
530234134431
63003055000
7516142140
oct163711110
963144330
1030380616
1116170452
12a211460
1363a92c6
14406b920
152a019e6
hex1cf9248

30380616 has 128 divisors (see below), whose sum is σ = 98150400. Its totient is φ = 8527680.

The previous prime is 30380593. The next prime is 30380633. The reversal of 30380616 is 61608303.

30380616 = T1 + T2 + ... + T566.

30380616 is a nontrivial binomial coefficient, being equal to C(568, 3).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 30380616.

It is an unprimeable number.

It is the 566-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107211 + ... + 107493.

It is an arithmetic number, because the mean of its divisors is an integer number (766800).

Almost surely, 230380616 is an apocalyptic number.

30380616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30380616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49075200).

30380616 is an abundant number, since it is smaller than the sum of its proper divisors (67769784).

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

30380616 is a wasteful number, since it uses less digits than its factorization.

30380616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30380616 is about 5511.8613915809. The cubic root of 30380616 is about 312.0318014922.

Adding to 30380616 its reverse (61608303), we get a palindrome (91988919).

The spelling of 30380616 in words is "thirty million, three hundred eighty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 84 108 126 142 168 189 213 216 252 283 284 378 426 497 504 566 568 639 756 849 852 994 1132 1278 1491 1512 1698 1704 1917 1981 1988 2264 2547 2556 2982 3396 3834 3962 3976 4473 5094 5112 5943 5964 6792 7641 7668 7924 8946 10188 11886 11928 13419 15282 15336 15848 17829 17892 20093 20376 23772 26838 30564 35658 35784 40186 47544 53487 53676 60279 61128 71316 80372 106974 107352 120558 140651 142632 160744 180837 213948 241116 281302 361674 421953 427896 482232 542511 562604 723348 843906 1085022 1125208 1265859 1446696 1687812 2170044 2531718 3375624 3797577 4340088 5063436 7595154 10126872 15190308 30380616