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38343396 = 22371323773
BaseRepresentation
bin1001001001000…
…1001011100100
32200011001020210
42102101023210
534303442041
63445455420
7643625220
oct222211344
980131223
1038343396
111a709a63
1210a11570
137c36800
145141780
153576016
hex24912e4

38343396 has 144 divisors (see below), whose sum is σ = 115269504. Its totient is φ = 9704448.

The previous prime is 38343391. The next prime is 38343407. The reversal of 38343396 is 69334383.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38343391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525216 + ... + 525288.

Almost surely, 238343396 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 38343396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57634752).

38343396 is an abundant number, since it is smaller than the sum of its proper divisors (76926108).

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

38343396 is a wasteful number, since it uses less digits than its factorization.

38343396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 38343396 is about 6192.2044539889. The cubic root of 38343396 is about 337.2072149406.

The spelling of 38343396 in words is "thirty-eight million, three hundred forty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 73 74 78 84 91 111 146 148 156 169 182 219 222 259 273 292 338 364 438 444 481 507 511 518 546 676 777 876 949 962 1014 1022 1036 1092 1183 1443 1533 1554 1898 1924 2028 2044 2366 2701 2847 2886 3066 3108 3367 3549 3796 4732 5402 5694 5772 6132 6253 6643 6734 7098 8103 10101 10804 11388 12337 12506 13286 13468 14196 16206 18759 18907 19929 20202 24674 25012 26572 32412 35113 37011 37518 37814 39858 40404 43771 49348 56721 70226 74022 75036 75628 79716 86359 87542 105339 113442 131313 140452 148044 172718 175084 210678 226884 245791 259077 262626 345436 421356 456469 491582 518154 525252 737373 912938 983164 1036308 1369407 1474746 1825876 2738814 2949492 3195283 5477628 6390566 9585849 12781132 19171698 38343396